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Finding the Fourth Proportional to 402,724, 604,087.92 and 107,236

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Solution

The fourth proportional to 402,724, 604,087.92 and 107,236 is: 160,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,724 : 604,087.92 = 107,236 : x
  2. Step 2: Convert to fraction form
    402,724/604,087.92 = 107,236/x
  3. Step 3: Cross multiply
    402,724x = 604,087.92 × 107,236
  4. Step 4: Simplify right side
    402,724x = 64,779,972,189.12
  5. Step 5: Solve for x
    x = 64,779,972,189.12/402,724
  6. Step 6: Final answer
    x = 160,854.51

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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.