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Finding the Fourth Proportional to 543,102.30, 814,675.32 and 258,646.50

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Solution

The fourth proportional to 543,102.30, 814,675.32 and 258,646.50 is: 387,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,102.30 : 814,675.32 = 258,646.50 : x
  2. Step 2: Convert to fraction form
    543,102.30/814,675.32 = 258,646.50/x
  3. Step 3: Cross multiply
    543,102.30x = 814,675.32 × 258,646.50
  4. Step 4: Simplify right side
    543,102.30x = 210,712,920,154.38
  5. Step 5: Solve for x
    x = 210,712,920,154.38/543,102.30
  6. Step 6: Final answer
    x = 387,980.17

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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.