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Finding the Fourth Proportional to 457,104.60, 630,492.15 and 313,615.53

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Solution

The fourth proportional to 457,104.60, 630,492.15 and 313,615.53 is: 432,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,104.60 : 630,492.15 = 313,615.53 : x
  2. Step 2: Convert to fraction form
    457,104.60/630,492.15 = 313,615.53/x
  3. Step 3: Cross multiply
    457,104.60x = 630,492.15 × 313,615.53
  4. Step 4: Simplify right side
    457,104.60x = 197,732,130,959.15
  5. Step 5: Solve for x
    x = 197,732,130,959.15/457,104.60
  6. Step 6: Final answer
    x = 432,575.24

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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.