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Finding the Fourth Proportional to 549,160.80, 822,866.40 and 407,443.20

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Solution

The fourth proportional to 549,160.80, 822,866.40 and 407,443.20 is: 610,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,160.80 : 822,866.40 = 407,443.20 : x
  2. Step 2: Convert to fraction form
    549,160.80/822,866.40 = 407,443.20/x
  3. Step 3: Cross multiply
    549,160.80x = 822,866.40 × 407,443.20
  4. Step 4: Simplify right side
    549,160.80x = 335,271,319,188.48
  5. Step 5: Solve for x
    x = 335,271,319,188.48/549,160.80
  6. Step 6: Final answer
    x = 610,515.75

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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.