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Finding the Fourth Proportional to 508,585.16, 763,125.60 and 209,155.70

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Solution

The fourth proportional to 508,585.16, 763,125.60 and 209,155.70 is: 313,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,585.16 : 763,125.60 = 209,155.70 : x
  2. Step 2: Convert to fraction form
    508,585.16/763,125.60 = 209,155.70/x
  3. Step 3: Cross multiply
    508,585.16x = 763,125.60 × 209,155.70
  4. Step 4: Simplify right side
    508,585.16x = 159,612,065,240.29
  5. Step 5: Solve for x
    x = 159,612,065,240.29/508,585.16
  6. Step 6: Final answer
    x = 313,835.48

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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.