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Finding the Fourth Proportional to 560,007.82, 840,010.14 and 139,283.70

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Solution

The fourth proportional to 560,007.82, 840,010.14 and 139,283.70 is: 208,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,007.82 : 840,010.14 = 139,283.70 : x
  2. Step 2: Convert to fraction form
    560,007.82/840,010.14 = 139,283.70/x
  3. Step 3: Cross multiply
    560,007.82x = 840,010.14 × 139,283.70
  4. Step 4: Simplify right side
    560,007.82x = 116,999,715,440.25
  5. Step 5: Solve for x
    x = 116,999,715,440.25/560,007.82
  6. Step 6: Final answer
    x = 208,925.15

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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.