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Finding the Fourth Proportional to 549,038.40, 822,943.20 and 312,494.40

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Solution

The fourth proportional to 549,038.40, 822,943.20 and 312,494.40 is: 468,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,038.40 : 822,943.20 = 312,494.40 : x
  2. Step 2: Convert to fraction form
    549,038.40/822,943.20 = 312,494.40/x
  3. Step 3: Cross multiply
    549,038.40x = 822,943.20 × 312,494.40
  4. Step 4: Simplify right side
    549,038.40x = 257,165,141,518.08
  5. Step 5: Solve for x
    x = 257,165,141,518.08/549,038.40
  6. Step 6: Final answer
    x = 468,391.90

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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.