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Finding the Fourth Proportional to 497,143.80, 745,715.70 and 142,169.40

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Solution

The fourth proportional to 497,143.80, 745,715.70 and 142,169.40 is: 213,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,143.80 : 745,715.70 = 142,169.40 : x
  2. Step 2: Convert to fraction form
    497,143.80/745,715.70 = 142,169.40/x
  3. Step 3: Cross multiply
    497,143.80x = 745,715.70 × 142,169.40
  4. Step 4: Simplify right side
    497,143.80x = 106,017,953,639.58
  5. Step 5: Solve for x
    x = 106,017,953,639.58/497,143.80
  6. Step 6: Final answer
    x = 213,254.10

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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.