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Finding the Fourth Proportional to 478,445.02, 659,345.65 and 342,242.42

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Solution

The fourth proportional to 478,445.02, 659,345.65 and 342,242.42 is: 471,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,445.02 : 659,345.65 = 342,242.42 : x
  2. Step 2: Convert to fraction form
    478,445.02/659,345.65 = 342,242.42/x
  3. Step 3: Cross multiply
    478,445.02x = 659,345.65 × 342,242.42
  4. Step 4: Simplify right side
    478,445.02x = 225,656,052,520.84
  5. Step 5: Solve for x
    x = 225,656,052,520.84/478,445.02
  6. Step 6: Final answer
    x = 471,644.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.