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Finding the Fourth Proportional to 288,005.70, 432,008.55 and 278,328.90

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Solution

The fourth proportional to 288,005.70, 432,008.55 and 278,328.90 is: 417,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,005.70 : 432,008.55 = 278,328.90 : x
  2. Step 2: Convert to fraction form
    288,005.70/432,008.55 = 278,328.90/x
  3. Step 3: Cross multiply
    288,005.70x = 432,008.55 × 278,328.90
  4. Step 4: Simplify right side
    288,005.70x = 120,240,464,512.10
  5. Step 5: Solve for x
    x = 120,240,464,512.10/288,005.70
  6. Step 6: Final answer
    x = 417,493.35

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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.