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Finding the Fourth Proportional to 561,807.54, 775,294.29 and 307,158.66

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Solution

The fourth proportional to 561,807.54, 775,294.29 and 307,158.66 is: 423,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,807.54 : 775,294.29 = 307,158.66 : x
  2. Step 2: Convert to fraction form
    561,807.54/775,294.29 = 307,158.66/x
  3. Step 3: Cross multiply
    561,807.54x = 775,294.29 × 307,158.66
  4. Step 4: Simplify right side
    561,807.54x = 238,138,355,222.05
  5. Step 5: Solve for x
    x = 238,138,355,222.05/561,807.54
  6. Step 6: Final answer
    x = 423,878.89

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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.