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Finding the Fourth Proportional to 490,762,463.80, 735,518,505.30 and 260,841,695.80

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Solution

The fourth proportional to 490,762,463.80, 735,518,505.30 and 260,841,695.80 is: 390,930,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,762,463.80 : 735,518,505.30 = 260,841,695.80 : x
  2. Step 2: Convert to fraction form
    490,762,463.80/735,518,505.30 = 260,841,695.80/x
  3. Step 3: Cross multiply
    490,762,463.80x = 735,518,505.30 × 260,841,695.80
  4. Step 4: Simplify right side
    490,762,463.80x = 191,853,894,214,733,280
  5. Step 5: Solve for x
    x = 191,853,894,214,733,280/490,762,463.80
  6. Step 6: Final answer
    x = 390,930,253.16

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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.