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Finding the Fourth Proportional to 475,678.40, 712,912.80 and 194,878.40

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Solution

The fourth proportional to 475,678.40, 712,912.80 and 194,878.40 is: 292,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,678.40 : 712,912.80 = 194,878.40 : x
  2. Step 2: Convert to fraction form
    475,678.40/712,912.80 = 194,878.40/x
  3. Step 3: Cross multiply
    475,678.40x = 712,912.80 × 194,878.40
  4. Step 4: Simplify right side
    475,678.40x = 138,931,305,803.52
  5. Step 5: Solve for x
    x = 138,931,305,803.52/475,678.40
  6. Step 6: Final answer
    x = 292,069.82

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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.