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Finding the Fourth Proportional to 478,108.10, 716,933.46 and 278,485.40

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Solution

The fourth proportional to 478,108.10, 716,933.46 and 278,485.40 is: 417,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,108.10 : 716,933.46 = 278,485.40 : x
  2. Step 2: Convert to fraction form
    478,108.10/716,933.46 = 278,485.40/x
  3. Step 3: Cross multiply
    478,108.10x = 716,933.46 × 278,485.40
  4. Step 4: Simplify right side
    478,108.10x = 199,655,501,381.48
  5. Step 5: Solve for x
    x = 199,655,501,381.48/478,108.10
  6. Step 6: Final answer
    x = 417,594.89

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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.