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Finding the Fourth Proportional to 458,066.40, 685,544.40 and 402,079.20

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Solution

The fourth proportional to 458,066.40, 685,544.40 and 402,079.20 is: 601,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,066.40 : 685,544.40 = 402,079.20 : x
  2. Step 2: Convert to fraction form
    458,066.40/685,544.40 = 402,079.20/x
  3. Step 3: Cross multiply
    458,066.40x = 685,544.40 × 402,079.20
  4. Step 4: Simplify right side
    458,066.40x = 275,643,143,916.48
  5. Step 5: Solve for x
    x = 275,643,143,916.48/458,066.40
  6. Step 6: Final answer
    x = 601,753.68

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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.