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Finding the Fourth Proportional to 497,492.40, 746,018.44 and 142,425.52

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Solution

The fourth proportional to 497,492.40, 746,018.44 and 142,425.52 is: 213,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,492.40 : 746,018.44 = 142,425.52 : x
  2. Step 2: Convert to fraction form
    497,492.40/746,018.44 = 142,425.52/x
  3. Step 3: Cross multiply
    497,492.40x = 746,018.44 × 142,425.52
  4. Step 4: Simplify right side
    497,492.40x = 106,252,064,246.59
  5. Step 5: Solve for x
    x = 106,252,064,246.59/497,492.40
  6. Step 6: Final answer
    x = 213,575.25

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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.