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Finding the Fourth Proportional to 560,144.88, 840,213 and 139,417.92

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Solution

The fourth proportional to 560,144.88, 840,213 and 139,417.92 is: 209,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,144.88 : 840,213 = 139,417.92 : x
  2. Step 2: Convert to fraction form
    560,144.88/840,213 = 139,417.92/x
  3. Step 3: Cross multiply
    560,144.88x = 840,213 × 139,417.92
  4. Step 4: Simplify right side
    560,144.88x = 117,140,748,816.96
  5. Step 5: Solve for x
    x = 117,140,748,816.96/560,144.88
  6. Step 6: Final answer
    x = 209,125.80

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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.