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Finding the Fourth Proportional to 549,097.90, 824,424.45 and 430,902.70

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Solution

The fourth proportional to 549,097.90, 824,424.45 and 430,902.70 is: 646,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,097.90 : 824,424.45 = 430,902.70 : x
  2. Step 2: Convert to fraction form
    549,097.90/824,424.45 = 430,902.70/x
  3. Step 3: Cross multiply
    549,097.90x = 824,424.45 × 430,902.70
  4. Step 4: Simplify right side
    549,097.90x = 355,246,721,451.02
  5. Step 5: Solve for x
    x = 355,246,721,451.02/549,097.90
  6. Step 6: Final answer
    x = 646,964.27

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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.