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Finding the Fourth Proportional to 280,819,139.20, 420,472,881.60 and 280,819,139.20

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Solution

The fourth proportional to 280,819,139.20, 420,472,881.60 and 280,819,139.20 is: 420,472,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,819,139.20 : 420,472,881.60 = 280,819,139.20 : x
  2. Step 2: Convert to fraction form
    280,819,139.20/420,472,881.60 = 280,819,139.20/x
  3. Step 3: Cross multiply
    280,819,139.20x = 420,472,881.60 × 280,819,139.20
  4. Step 4: Simplify right side
    280,819,139.20x = 118,076,832,667,855,520
  5. Step 5: Solve for x
    x = 118,076,832,667,855,520/280,819,139.20
  6. Step 6: Final answer
    x = 420,472,881.60

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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.