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Finding the Fourth Proportional to 497,079.70, 745,728.90 and 160,135.90

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Solution

The fourth proportional to 497,079.70, 745,728.90 and 160,135.90 is: 240,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,079.70 : 745,728.90 = 160,135.90 : x
  2. Step 2: Convert to fraction form
    497,079.70/745,728.90 = 160,135.90/x
  3. Step 3: Cross multiply
    497,079.70x = 745,728.90 × 160,135.90
  4. Step 4: Simplify right side
    497,079.70x = 119,417,968,557.51
  5. Step 5: Solve for x
    x = 119,417,968,557.51/497,079.70
  6. Step 6: Final answer
    x = 240,239.08

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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.