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Finding the Fourth Proportional to 390,673.55, 586,192.68 and 138,145.32

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Solution

The fourth proportional to 390,673.55, 586,192.68 and 138,145.32 is: 207,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,673.55 : 586,192.68 = 138,145.32 : x
  2. Step 2: Convert to fraction form
    390,673.55/586,192.68 = 138,145.32/x
  3. Step 3: Cross multiply
    390,673.55x = 586,192.68 × 138,145.32
  4. Step 4: Simplify right side
    390,673.55x = 80,979,775,360.26
  5. Step 5: Solve for x
    x = 80,979,775,360.26/390,673.55
  6. Step 6: Final answer
    x = 207,282.46

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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.