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Finding the Fourth Proportional to 523,341.78, 785,013.48 and 149,364.78

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Solution

The fourth proportional to 523,341.78, 785,013.48 and 149,364.78 is: 224,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,341.78 : 785,013.48 = 149,364.78 : x
  2. Step 2: Convert to fraction form
    523,341.78/785,013.48 = 149,364.78/x
  3. Step 3: Cross multiply
    523,341.78x = 785,013.48 × 149,364.78
  4. Step 4: Simplify right side
    523,341.78x = 117,253,365,737.23
  5. Step 5: Solve for x
    x = 117,253,365,737.23/523,341.78
  6. Step 6: Final answer
    x = 224,047.40

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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.