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Finding the Fourth Proportional to 549,098.40, 824,425.20 and 430,903.20

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Solution

The fourth proportional to 549,098.40, 824,425.20 and 430,903.20 is: 646,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,098.40 : 824,425.20 = 430,903.20 : x
  2. Step 2: Convert to fraction form
    549,098.40/824,425.20 = 430,903.20/x
  3. Step 3: Cross multiply
    549,098.40x = 824,425.20 × 430,903.20
  4. Step 4: Simplify right side
    549,098.40x = 355,247,456,840.64
  5. Step 5: Solve for x
    x = 355,247,456,840.64/549,098.40
  6. Step 6: Final answer
    x = 646,965.02

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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.