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Finding the Fourth Proportional to 486,492.98, 729,742.05 and 319,073.49

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Solution

The fourth proportional to 486,492.98, 729,742.05 and 319,073.49 is: 478,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,492.98 : 729,742.05 = 319,073.49 : x
  2. Step 2: Convert to fraction form
    486,492.98/729,742.05 = 319,073.49/x
  3. Step 3: Cross multiply
    486,492.98x = 729,742.05 × 319,073.49
  4. Step 4: Simplify right side
    486,492.98x = 232,841,342,693.26
  5. Step 5: Solve for x
    x = 232,841,342,693.26/486,492.98
  6. Step 6: Final answer
    x = 478,611.93

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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.