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Finding the Fourth Proportional to 477,043.84, 715,656.48 and 161,416

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Solution

The fourth proportional to 477,043.84, 715,656.48 and 161,416 is: 242,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,043.84 : 715,656.48 = 161,416 : x
  2. Step 2: Convert to fraction form
    477,043.84/715,656.48 = 161,416/x
  3. Step 3: Cross multiply
    477,043.84x = 715,656.48 × 161,416
  4. Step 4: Simplify right side
    477,043.84x = 115,518,406,375.68
  5. Step 5: Solve for x
    x = 115,518,406,375.68/477,043.84
  6. Step 6: Final answer
    x = 242,154.70

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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.