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Finding the Fourth Proportional to 475,605.30, 656,335.11 and 260,740.74

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Solution

The fourth proportional to 475,605.30, 656,335.11 and 260,740.74 is: 359,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,605.30 : 656,335.11 = 260,740.74 : x
  2. Step 2: Convert to fraction form
    475,605.30/656,335.11 = 260,740.74/x
  3. Step 3: Cross multiply
    475,605.30x = 656,335.11 × 260,740.74
  4. Step 4: Simplify right side
    475,605.30x = 171,133,302,269.38
  5. Step 5: Solve for x
    x = 171,133,302,269.38/475,605.30
  6. Step 6: Final answer
    x = 359,822.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.