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Finding the Fourth Proportional to 491,125.60, 676,827.12 and 430,300

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Solution

The fourth proportional to 491,125.60, 676,827.12 and 430,300 is: 593,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,125.60 : 676,827.12 = 430,300 : x
  2. Step 2: Convert to fraction form
    491,125.60/676,827.12 = 430,300/x
  3. Step 3: Cross multiply
    491,125.60x = 676,827.12 × 430,300
  4. Step 4: Simplify right side
    491,125.60x = 291,238,709,736
  5. Step 5: Solve for x
    x = 291,238,709,736/491,125.60
  6. Step 6: Final answer
    x = 593,002.50

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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.