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Finding the Fourth Proportional to 545,970.60, 819,071.10 and 172,031.40

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Solution

The fourth proportional to 545,970.60, 819,071.10 and 172,031.40 is: 258,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,970.60 : 819,071.10 = 172,031.40 : x
  2. Step 2: Convert to fraction form
    545,970.60/819,071.10 = 172,031.40/x
  3. Step 3: Cross multiply
    545,970.60x = 819,071.10 × 172,031.40
  4. Step 4: Simplify right side
    545,970.60x = 140,905,948,032.54
  5. Step 5: Solve for x
    x = 140,905,948,032.54/545,970.60
  6. Step 6: Final answer
    x = 258,083.40

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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.