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Finding the Fourth Proportional to 478,312.68, 717,557.31 and 197,851.80

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Solution

The fourth proportional to 478,312.68, 717,557.31 and 197,851.80 is: 296,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,312.68 : 717,557.31 = 197,851.80 : x
  2. Step 2: Convert to fraction form
    478,312.68/717,557.31 = 197,851.80/x
  3. Step 3: Cross multiply
    478,312.68x = 717,557.31 × 197,851.80
  4. Step 4: Simplify right side
    478,312.68x = 141,970,005,386.66
  5. Step 5: Solve for x
    x = 141,970,005,386.66/478,312.68
  6. Step 6: Final answer
    x = 296,814.22

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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.