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Finding the Fourth Proportional to 491,475.18, 678,445 and 330,423.68

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Solution

The fourth proportional to 491,475.18, 678,445 and 330,423.68 is: 456,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,475.18 : 678,445 = 330,423.68 : x
  2. Step 2: Convert to fraction form
    491,475.18/678,445 = 330,423.68/x
  3. Step 3: Cross multiply
    491,475.18x = 678,445 × 330,423.68
  4. Step 4: Simplify right side
    491,475.18x = 224,174,293,577.60
  5. Step 5: Solve for x
    x = 224,174,293,577.60/491,475.18
  6. Step 6: Final answer
    x = 456,125.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.