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Finding the Fourth Proportional to 475,178.49, 655,746.30 and 284,191.89

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Solution

The fourth proportional to 475,178.49, 655,746.30 and 284,191.89 is: 392,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,178.49 : 655,746.30 = 284,191.89 : x
  2. Step 2: Convert to fraction form
    475,178.49/655,746.30 = 284,191.89/x
  3. Step 3: Cross multiply
    475,178.49x = 655,746.30 × 284,191.89
  4. Step 4: Simplify right side
    475,178.49x = 186,357,780,357.51
  5. Step 5: Solve for x
    x = 186,357,780,357.51/475,178.49
  6. Step 6: Final answer
    x = 392,184.80

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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.