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Finding the Fourth Proportional to 499,398.46, 750,721.62 and 400,639.06

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Solution

The fourth proportional to 499,398.46, 750,721.62 and 400,639.06 is: 602,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,398.46 : 750,721.62 = 400,639.06 : x
  2. Step 2: Convert to fraction form
    499,398.46/750,721.62 = 400,639.06/x
  3. Step 3: Cross multiply
    499,398.46x = 750,721.62 × 400,639.06
  4. Step 4: Simplify right side
    499,398.46x = 300,768,404,158.48
  5. Step 5: Solve for x
    x = 300,768,404,158.48/499,398.46
  6. Step 6: Final answer
    x = 602,261.38

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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.