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Finding the Fourth Proportional to 580,663,721.60, 871,393,713.60 and 257,779,318.40

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Solution

The fourth proportional to 580,663,721.60, 871,393,713.60 and 257,779,318.40 is: 386,845,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,663,721.60 : 871,393,713.60 = 257,779,318.40 : x
  2. Step 2: Convert to fraction form
    580,663,721.60/871,393,713.60 = 257,779,318.40/x
  3. Step 3: Cross multiply
    580,663,721.60x = 871,393,713.60 × 257,779,318.40
  4. Step 4: Simplify right side
    580,663,721.60x = 224,627,277,549,852,832
  5. Step 5: Solve for x
    x = 224,627,277,549,852,832/580,663,721.60
  6. Step 6: Final answer
    x = 386,845,723.60

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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.