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Finding the Fourth Proportional to 477,937.20, 716,905.80 and 145,513.20

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Solution

The fourth proportional to 477,937.20, 716,905.80 and 145,513.20 is: 218,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,937.20 : 716,905.80 = 145,513.20 : x
  2. Step 2: Convert to fraction form
    477,937.20/716,905.80 = 145,513.20/x
  3. Step 3: Cross multiply
    477,937.20x = 716,905.80 × 145,513.20
  4. Step 4: Simplify right side
    477,937.20x = 104,319,257,056.56
  5. Step 5: Solve for x
    x = 104,319,257,056.56/477,937.20
  6. Step 6: Final answer
    x = 218,269.80

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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.