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Finding the Fourth Proportional to 652,027.40, 978,041.10 and 278,088.20

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Solution

The fourth proportional to 652,027.40, 978,041.10 and 278,088.20 is: 417,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,027.40 : 978,041.10 = 278,088.20 : x
  2. Step 2: Convert to fraction form
    652,027.40/978,041.10 = 278,088.20/x
  3. Step 3: Cross multiply
    652,027.40x = 978,041.10 × 278,088.20
  4. Step 4: Simplify right side
    652,027.40x = 271,981,689,025.02
  5. Step 5: Solve for x
    x = 271,981,689,025.02/652,027.40
  6. Step 6: Final answer
    x = 417,132.30

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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.