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Finding the Fourth Proportional to 560,013.14, 840,018.11 and 139,289.01

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Solution

The fourth proportional to 560,013.14, 840,018.11 and 139,289.01 is: 208,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,013.14 : 840,018.11 = 139,289.01 : x
  2. Step 2: Convert to fraction form
    560,013.14/840,018.11 = 139,289.01/x
  3. Step 3: Cross multiply
    560,013.14x = 840,018.11 × 139,289.01
  4. Step 4: Simplify right side
    560,013.14x = 117,005,290,227.53
  5. Step 5: Solve for x
    x = 117,005,290,227.53/560,013.14
  6. Step 6: Final answer
    x = 208,933.12

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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.