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Finding the Fourth Proportional to 295,300.10, 442,658.55 and 145,417.70

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Solution

The fourth proportional to 295,300.10, 442,658.55 and 145,417.70 is: 217,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,300.10 : 442,658.55 = 145,417.70 : x
  2. Step 2: Convert to fraction form
    295,300.10/442,658.55 = 145,417.70/x
  3. Step 3: Cross multiply
    295,300.10x = 442,658.55 × 145,417.70
  4. Step 4: Simplify right side
    295,300.10x = 64,370,388,226.34
  5. Step 5: Solve for x
    x = 64,370,388,226.34/295,300.10
  6. Step 6: Final answer
    x = 217,982.95

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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.