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Finding the Fourth Proportional to 382,970.80, 574,715.40 and 172,500.40

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Solution

The fourth proportional to 382,970.80, 574,715.40 and 172,500.40 is: 258,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,970.80 : 574,715.40 = 172,500.40 : x
  2. Step 2: Convert to fraction form
    382,970.80/574,715.40 = 172,500.40/x
  3. Step 3: Cross multiply
    382,970.80x = 574,715.40 × 172,500.40
  4. Step 4: Simplify right side
    382,970.80x = 99,138,636,386.16
  5. Step 5: Solve for x
    x = 99,138,636,386.16/382,970.80
  6. Step 6: Final answer
    x = 258,867.35

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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.