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Finding the Fourth Proportional to 499,637.80, 747,269.70 and 446,712.40

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Solution

The fourth proportional to 499,637.80, 747,269.70 and 446,712.40 is: 668,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,637.80 : 747,269.70 = 446,712.40 : x
  2. Step 2: Convert to fraction form
    499,637.80/747,269.70 = 446,712.40/x
  3. Step 3: Cross multiply
    499,637.80x = 747,269.70 × 446,712.40
  4. Step 4: Simplify right side
    499,637.80x = 333,814,641,134.28
  5. Step 5: Solve for x
    x = 333,814,641,134.28/499,637.80
  6. Step 6: Final answer
    x = 668,113.26

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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.