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Finding the Fourth Proportional to 499,019.15, 688,645.74 and 284,159.21

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Solution

The fourth proportional to 499,019.15, 688,645.74 and 284,159.21 is: 392,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,019.15 : 688,645.74 = 284,159.21 : x
  2. Step 2: Convert to fraction form
    499,019.15/688,645.74 = 284,159.21/x
  3. Step 3: Cross multiply
    499,019.15x = 688,645.74 × 284,159.21
  4. Step 4: Simplify right side
    499,019.15x = 195,685,026,005.04
  5. Step 5: Solve for x
    x = 195,685,026,005.04/499,019.15
  6. Step 6: Final answer
    x = 392,139.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.