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Finding the Fourth Proportional to 390,878.56, 586,320.18 and 110,398.24

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Solution

The fourth proportional to 390,878.56, 586,320.18 and 110,398.24 is: 165,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,878.56 : 586,320.18 = 110,398.24 : x
  2. Step 2: Convert to fraction form
    390,878.56/586,320.18 = 110,398.24/x
  3. Step 3: Cross multiply
    390,878.56x = 586,320.18 × 110,398.24
  4. Step 4: Simplify right side
    390,878.56x = 64,728,715,948.48
  5. Step 5: Solve for x
    x = 64,728,715,948.48/390,878.56
  6. Step 6: Final answer
    x = 165,598.02

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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.