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Finding the Fourth Proportional to 560,145.88, 840,214.50 and 139,418.92

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Solution

The fourth proportional to 560,145.88, 840,214.50 and 139,418.92 is: 209,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,145.88 : 840,214.50 = 139,418.92 : x
  2. Step 2: Convert to fraction form
    560,145.88/840,214.50 = 139,418.92/x
  3. Step 3: Cross multiply
    560,145.88x = 840,214.50 × 139,418.92
  4. Step 4: Simplify right side
    560,145.88x = 117,141,798,158.34
  5. Step 5: Solve for x
    x = 117,141,798,158.34/560,145.88
  6. Step 6: Final answer
    x = 209,127.30

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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.