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Finding the Fourth Proportional to 411,045.48, 615,017.85 and 242,657.40

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Solution

The fourth proportional to 411,045.48, 615,017.85 and 242,657.40 is: 363,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,045.48 : 615,017.85 = 242,657.40 : x
  2. Step 2: Convert to fraction form
    411,045.48/615,017.85 = 242,657.40/x
  3. Step 3: Cross multiply
    411,045.48x = 615,017.85 × 242,657.40
  4. Step 4: Simplify right side
    411,045.48x = 149,238,632,434.59
  5. Step 5: Solve for x
    x = 149,238,632,434.59/411,045.48
  6. Step 6: Final answer
    x = 363,070.85

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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.