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Finding the Fourth Proportional to 497,072.70, 745,718.40 and 160,128.90

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Solution

The fourth proportional to 497,072.70, 745,718.40 and 160,128.90 is: 240,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,072.70 : 745,718.40 = 160,128.90 : x
  2. Step 2: Convert to fraction form
    497,072.70/745,718.40 = 160,128.90/x
  3. Step 3: Cross multiply
    497,072.70x = 745,718.40 × 160,128.90
  4. Step 4: Simplify right side
    497,072.70x = 119,411,067,101.76
  5. Step 5: Solve for x
    x = 119,411,067,101.76/497,072.70
  6. Step 6: Final answer
    x = 240,228.58

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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.