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Finding the Fourth Proportional to 478,515.60, 716,887.80 and 278,931.60

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Solution

The fourth proportional to 478,515.60, 716,887.80 and 278,931.60 is: 417,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,515.60 : 716,887.80 = 278,931.60 : x
  2. Step 2: Convert to fraction form
    478,515.60/716,887.80 = 278,931.60/x
  3. Step 3: Cross multiply
    478,515.60x = 716,887.80 × 278,931.60
  4. Step 4: Simplify right side
    478,515.60x = 199,962,661,074.48
  5. Step 5: Solve for x
    x = 199,962,661,074.48/478,515.60
  6. Step 6: Final answer
    x = 417,881.17

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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.