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Finding the Fourth Proportional to 502,995.78, 754,495.50 and 477,768.72

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Solution

The fourth proportional to 502,995.78, 754,495.50 and 477,768.72 is: 716,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,995.78 : 754,495.50 = 477,768.72 : x
  2. Step 2: Convert to fraction form
    502,995.78/754,495.50 = 477,768.72/x
  3. Step 3: Cross multiply
    502,995.78x = 754,495.50 × 477,768.72
  4. Step 4: Simplify right side
    502,995.78x = 360,474,349,280.76
  5. Step 5: Solve for x
    x = 360,474,349,280.76/502,995.78
  6. Step 6: Final answer
    x = 716,654.82

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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.