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Finding the Fourth Proportional to 820,402,265.80, 1,230,603,398.70 and 791,736,819.40

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Solution

The fourth proportional to 820,402,265.80, 1,230,603,398.70 and 791,736,819.40 is: 1,187,605,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,402,265.80 : 1,230,603,398.70 = 791,736,819.40 : x
  2. Step 2: Convert to fraction form
    820,402,265.80/1,230,603,398.70 = 791,736,819.40/x
  3. Step 3: Cross multiply
    820,402,265.80x = 1,230,603,398.70 × 791,736,819.40
  4. Step 4: Simplify right side
    820,402,265.80x = 974,314,020,829,568,128
  5. Step 5: Solve for x
    x = 974,314,020,829,568,128/820,402,265.80
  6. Step 6: Final answer
    x = 1,187,605,229.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.