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Finding the Fourth Proportional to 478,531.60, 716,911.80 and 278,947.60

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Solution

The fourth proportional to 478,531.60, 716,911.80 and 278,947.60 is: 417,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,531.60 : 716,911.80 = 278,947.60 : x
  2. Step 2: Convert to fraction form
    478,531.60/716,911.80 = 278,947.60/x
  3. Step 3: Cross multiply
    478,531.60x = 716,911.80 × 278,947.60
  4. Step 4: Simplify right side
    478,531.60x = 199,980,826,021.68
  5. Step 5: Solve for x
    x = 199,980,826,021.68/478,531.60
  6. Step 6: Final answer
    x = 417,905.16

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1.5x scale

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.