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Finding the Fourth Proportional to 634,458.80, 875,094.36 and 538,814

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Solution

The fourth proportional to 634,458.80, 875,094.36 and 538,814 is: 743,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,458.80 : 875,094.36 = 538,814 : x
  2. Step 2: Convert to fraction form
    634,458.80/875,094.36 = 538,814/x
  3. Step 3: Cross multiply
    634,458.80x = 875,094.36 × 538,814
  4. Step 4: Simplify right side
    634,458.80x = 471,513,092,489.04
  5. Step 5: Solve for x
    x = 471,513,092,489.04/634,458.80
  6. Step 6: Final answer
    x = 743,173.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.