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Finding the Fourth Proportional to 580,615,793.60, 871,321,821.60 and 257,731,390.40

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Solution

The fourth proportional to 580,615,793.60, 871,321,821.60 and 257,731,390.40 is: 386,773,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,615,793.60 : 871,321,821.60 = 257,731,390.40 : x
  2. Step 2: Convert to fraction form
    580,615,793.60/871,321,821.60 = 257,731,390.40/x
  3. Step 3: Cross multiply
    580,615,793.60x = 871,321,821.60 × 257,731,390.40
  4. Step 4: Simplify right side
    580,615,793.60x = 224,566,984,566,828,768
  5. Step 5: Solve for x
    x = 224,566,984,566,828,768/580,615,793.60
  6. Step 6: Final answer
    x = 386,773,813.32

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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.