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Finding the Fourth Proportional to 385,449.30, 578,210.40 and 104,966.55

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Solution

The fourth proportional to 385,449.30, 578,210.40 and 104,966.55 is: 157,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,449.30 : 578,210.40 = 104,966.55 : x
  2. Step 2: Convert to fraction form
    385,449.30/578,210.40 = 104,966.55/x
  3. Step 3: Cross multiply
    385,449.30x = 578,210.40 × 104,966.55
  4. Step 4: Simplify right side
    385,449.30x = 60,692,750,862.12
  5. Step 5: Solve for x
    x = 60,692,750,862.12/385,449.30
  6. Step 6: Final answer
    x = 157,459.75

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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.