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Finding the Fourth Proportional to 497,347.06, 746,542.40 and 440,783.03

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Solution

The fourth proportional to 497,347.06, 746,542.40 and 440,783.03 is: 661,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,347.06 : 746,542.40 = 440,783.03 : x
  2. Step 2: Convert to fraction form
    497,347.06/746,542.40 = 440,783.03/x
  3. Step 3: Cross multiply
    497,347.06x = 746,542.40 × 440,783.03
  4. Step 4: Simplify right side
    497,347.06x = 329,063,223,572.35
  5. Step 5: Solve for x
    x = 329,063,223,572.35/497,347.06
  6. Step 6: Final answer
    x = 661,637.02

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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.