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Finding the Fourth Proportional to 508,488.76, 701,730.30 and 282,155.32

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Solution

The fourth proportional to 508,488.76, 701,730.30 and 282,155.32 is: 389,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,488.76 : 701,730.30 = 282,155.32 : x
  2. Step 2: Convert to fraction form
    508,488.76/701,730.30 = 282,155.32/x
  3. Step 3: Cross multiply
    508,488.76x = 701,730.30 × 282,155.32
  4. Step 4: Simplify right side
    508,488.76x = 197,996,937,350.20
  5. Step 5: Solve for x
    x = 197,996,937,350.20/508,488.76
  6. Step 6: Final answer
    x = 389,383.12

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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.