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Finding the Fourth Proportional to 434,463.90, 651,695.85 and 266,502.30

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Solution

The fourth proportional to 434,463.90, 651,695.85 and 266,502.30 is: 399,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,463.90 : 651,695.85 = 266,502.30 : x
  2. Step 2: Convert to fraction form
    434,463.90/651,695.85 = 266,502.30/x
  3. Step 3: Cross multiply
    434,463.90x = 651,695.85 × 266,502.30
  4. Step 4: Simplify right side
    434,463.90x = 173,678,442,925.46
  5. Step 5: Solve for x
    x = 173,678,442,925.46/434,463.90
  6. Step 6: Final answer
    x = 399,753.45

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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.