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Finding the Fourth Proportional to 402,617.60, 605,092.80 and 395,619.20

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Solution

The fourth proportional to 402,617.60, 605,092.80 and 395,619.20 is: 594,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,617.60 : 605,092.80 = 395,619.20 : x
  2. Step 2: Convert to fraction form
    402,617.60/605,092.80 = 395,619.20/x
  3. Step 3: Cross multiply
    402,617.60x = 605,092.80 × 395,619.20
  4. Step 4: Simplify right side
    402,617.60x = 239,386,329,461.76
  5. Step 5: Solve for x
    x = 239,386,329,461.76/402,617.60
  6. Step 6: Final answer
    x = 594,574.93

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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.