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Finding the Fourth Proportional to 278,038.32, 417,082.08 and 78,360.48

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Solution

The fourth proportional to 278,038.32, 417,082.08 and 78,360.48 is: 117,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,038.32 : 417,082.08 = 78,360.48 : x
  2. Step 2: Convert to fraction form
    278,038.32/417,082.08 = 78,360.48/x
  3. Step 3: Cross multiply
    278,038.32x = 417,082.08 × 78,360.48
  4. Step 4: Simplify right side
    278,038.32x = 32,682,751,988.20
  5. Step 5: Solve for x
    x = 32,682,751,988.20/278,038.32
  6. Step 6: Final answer
    x = 117,547.65

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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.