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Finding the Fourth Proportional to 876,451, 1,209,502.50 and 474,043

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Solution

The fourth proportional to 876,451, 1,209,502.50 and 474,043 is: 654,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,451 : 1,209,502.50 = 474,043 : x
  2. Step 2: Convert to fraction form
    876,451/1,209,502.50 = 474,043/x
  3. Step 3: Cross multiply
    876,451x = 1,209,502.50 × 474,043
  4. Step 4: Simplify right side
    876,451x = 573,356,193,607.50
  5. Step 5: Solve for x
    x = 573,356,193,607.50/876,451
  6. Step 6: Final answer
    x = 654,179.40

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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.