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Finding the Fourth Proportional to 385,630.60, 578,273.10 and 148,894.60

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Solution

The fourth proportional to 385,630.60, 578,273.10 and 148,894.60 is: 223,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,630.60 : 578,273.10 = 148,894.60 : x
  2. Step 2: Convert to fraction form
    385,630.60/578,273.10 = 148,894.60/x
  3. Step 3: Cross multiply
    385,630.60x = 578,273.10 × 148,894.60
  4. Step 4: Simplify right side
    385,630.60x = 86,101,741,915.26
  5. Step 5: Solve for x
    x = 86,101,741,915.26/385,630.60
  6. Step 6: Final answer
    x = 223,275.18

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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.