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Finding the Fourth Proportional to 457,188, 630,919.68 and 255,988.32

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Solution

The fourth proportional to 457,188, 630,919.68 and 255,988.32 is: 353,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,188 : 630,919.68 = 255,988.32 : x
  2. Step 2: Convert to fraction form
    457,188/630,919.68 = 255,988.32/x
  3. Step 3: Cross multiply
    457,188x = 630,919.68 × 255,988.32
  4. Step 4: Simplify right side
    457,188x = 161,508,068,938.14
  5. Step 5: Solve for x
    x = 161,508,068,938.14/457,188
  6. Step 6: Final answer
    x = 353,264.02

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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.