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Finding the Fourth Proportional to 461,435.28, 692,148.80 and 145,892.30

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Solution

The fourth proportional to 461,435.28, 692,148.80 and 145,892.30 is: 218,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,435.28 : 692,148.80 = 145,892.30 : x
  2. Step 2: Convert to fraction form
    461,435.28/692,148.80 = 145,892.30/x
  3. Step 3: Cross multiply
    461,435.28x = 692,148.80 × 145,892.30
  4. Step 4: Simplify right side
    461,435.28x = 100,979,180,374.24
  5. Step 5: Solve for x
    x = 100,979,180,374.24/461,435.28
  6. Step 6: Final answer
    x = 218,837.15

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1.5x scale

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.