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Finding the Fourth Proportional to 612,442.56, 845,407.08 and 408,419.76

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Solution

The fourth proportional to 612,442.56, 845,407.08 and 408,419.76 is: 563,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,442.56 : 845,407.08 = 408,419.76 : x
  2. Step 2: Convert to fraction form
    612,442.56/845,407.08 = 408,419.76/x
  3. Step 3: Cross multiply
    612,442.56x = 845,407.08 × 408,419.76
  4. Step 4: Simplify right side
    612,442.56x = 345,280,956,715.90
  5. Step 5: Solve for x
    x = 345,280,956,715.90/612,442.56
  6. Step 6: Final answer
    x = 563,776.88

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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.