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Finding the Fourth Proportional to 508,386.57, 762,585.72 and 153,403.66

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Solution

The fourth proportional to 508,386.57, 762,585.72 and 153,403.66 is: 230,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,386.57 : 762,585.72 = 153,403.66 : x
  2. Step 2: Convert to fraction form
    508,386.57/762,585.72 = 153,403.66/x
  3. Step 3: Cross multiply
    508,386.57x = 762,585.72 × 153,403.66
  4. Step 4: Simplify right side
    508,386.57x = 116,983,440,511.74
  5. Step 5: Solve for x
    x = 116,983,440,511.74/508,386.57
  6. Step 6: Final answer
    x = 230,107.26

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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.