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Finding the Fourth Proportional to 487,041.88, 730,387.65 and 284,707.12

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Solution

The fourth proportional to 487,041.88, 730,387.65 and 284,707.12 is: 426,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,041.88 : 730,387.65 = 284,707.12 : x
  2. Step 2: Convert to fraction form
    487,041.88/730,387.65 = 284,707.12/x
  3. Step 3: Cross multiply
    487,041.88x = 730,387.65 × 284,707.12
  4. Step 4: Simplify right side
    487,041.88x = 207,946,564,315.07
  5. Step 5: Solve for x
    x = 207,946,564,315.07/487,041.88
  6. Step 6: Final answer
    x = 426,958.28

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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.