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Finding the Fourth Proportional to 497,014.60, 745,521.90 and 429,363.40

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Solution

The fourth proportional to 497,014.60, 745,521.90 and 429,363.40 is: 644,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,014.60 : 745,521.90 = 429,363.40 : x
  2. Step 2: Convert to fraction form
    497,014.60/745,521.90 = 429,363.40/x
  3. Step 3: Cross multiply
    497,014.60x = 745,521.90 × 429,363.40
  4. Step 4: Simplify right side
    497,014.60x = 320,099,817,758.46
  5. Step 5: Solve for x
    x = 320,099,817,758.46/497,014.60
  6. Step 6: Final answer
    x = 644,045.10

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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.