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Finding the Fourth Proportional to 497,077.74, 745,621.47 and 142,089.30

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Solution

The fourth proportional to 497,077.74, 745,621.47 and 142,089.30 is: 213,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,077.74 : 745,621.47 = 142,089.30 : x
  2. Step 2: Convert to fraction form
    497,077.74/745,621.47 = 142,089.30/x
  3. Step 3: Cross multiply
    497,077.74x = 745,621.47 × 142,089.30
  4. Step 4: Simplify right side
    497,077.74x = 105,944,832,737.27
  5. Step 5: Solve for x
    x = 105,944,832,737.27/497,077.74
  6. Step 6: Final answer
    x = 213,135.34

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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.