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Finding the Fourth Proportional to 476,642.25, 715,061.84 and 139,693.95

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Solution

The fourth proportional to 476,642.25, 715,061.84 and 139,693.95 is: 209,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,642.25 : 715,061.84 = 139,693.95 : x
  2. Step 2: Convert to fraction form
    476,642.25/715,061.84 = 139,693.95/x
  3. Step 3: Cross multiply
    476,642.25x = 715,061.84 × 139,693.95
  4. Step 4: Simplify right side
    476,642.25x = 99,889,812,225.40
  5. Step 5: Solve for x
    x = 99,889,812,225.40/476,642.25
  6. Step 6: Final answer
    x = 209,569.78

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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.