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Finding the Fourth Proportional to 497,013.84, 745,543.80 and 142,078.32

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Solution

The fourth proportional to 497,013.84, 745,543.80 and 142,078.32 is: 213,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,013.84 : 745,543.80 = 142,078.32 : x
  2. Step 2: Convert to fraction form
    497,013.84/745,543.80 = 142,078.32/x
  3. Step 3: Cross multiply
    497,013.84x = 745,543.80 × 142,078.32
  4. Step 4: Simplify right side
    497,013.84x = 105,925,610,590.42
  5. Step 5: Solve for x
    x = 105,925,610,590.42/497,013.84
  6. Step 6: Final answer
    x = 213,124.07

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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.