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Finding the Fourth Proportional to 402,947.40, 604,421.10 and 359,401.80

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Solution

The fourth proportional to 402,947.40, 604,421.10 and 359,401.80 is: 539,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,947.40 : 604,421.10 = 359,401.80 : x
  2. Step 2: Convert to fraction form
    402,947.40/604,421.10 = 359,401.80/x
  3. Step 3: Cross multiply
    402,947.40x = 604,421.10 × 359,401.80
  4. Step 4: Simplify right side
    402,947.40x = 217,230,031,297.98
  5. Step 5: Solve for x
    x = 217,230,031,297.98/402,947.40
  6. Step 6: Final answer
    x = 539,102.70

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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.