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Finding the Fourth Proportional to 488,271.40, 731,969.70 and 319,872.40

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Solution

The fourth proportional to 488,271.40, 731,969.70 and 319,872.40 is: 479,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,271.40 : 731,969.70 = 319,872.40 : x
  2. Step 2: Convert to fraction form
    488,271.40/731,969.70 = 319,872.40/x
  3. Step 3: Cross multiply
    488,271.40x = 731,969.70 × 319,872.40
  4. Step 4: Simplify right side
    488,271.40x = 234,136,904,666.28
  5. Step 5: Solve for x
    x = 234,136,904,666.28/488,271.40
  6. Step 6: Final answer
    x = 479,522.05

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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.