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Finding the Fourth Proportional to 549,034.40, 822,937.20 and 312,490.40

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Solution

The fourth proportional to 549,034.40, 822,937.20 and 312,490.40 is: 468,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,034.40 : 822,937.20 = 312,490.40 : x
  2. Step 2: Convert to fraction form
    549,034.40/822,937.20 = 312,490.40/x
  3. Step 3: Cross multiply
    549,034.40x = 822,937.20 × 312,490.40
  4. Step 4: Simplify right side
    549,034.40x = 257,159,974,802.88
  5. Step 5: Solve for x
    x = 257,159,974,802.88/549,034.40
  6. Step 6: Final answer
    x = 468,385.91

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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.