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Finding the Fourth Proportional to 478,066.56, 716,983.20 and 197,664

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Solution

The fourth proportional to 478,066.56, 716,983.20 and 197,664 is: 296,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,066.56 : 716,983.20 = 197,664 : x
  2. Step 2: Convert to fraction form
    478,066.56/716,983.20 = 197,664/x
  3. Step 3: Cross multiply
    478,066.56x = 716,983.20 × 197,664
  4. Step 4: Simplify right side
    478,066.56x = 141,721,767,244.80
  5. Step 5: Solve for x
    x = 141,721,767,244.80/478,066.56
  6. Step 6: Final answer
    x = 296,447.77

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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.