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Finding the Fourth Proportional to 546,265, 819,543.30 and 172,288

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Solution

The fourth proportional to 546,265, 819,543.30 and 172,288 is: 258,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,265 : 819,543.30 = 172,288 : x
  2. Step 2: Convert to fraction form
    546,265/819,543.30 = 172,288/x
  3. Step 3: Cross multiply
    546,265x = 819,543.30 × 172,288
  4. Step 4: Simplify right side
    546,265x = 141,197,476,070.40
  5. Step 5: Solve for x
    x = 141,197,476,070.40/546,265
  6. Step 6: Final answer
    x = 258,477.98

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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.