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Finding the Fourth Proportional to 288,587.90, 432,881.85 and 78,225.84

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Solution

The fourth proportional to 288,587.90, 432,881.85 and 78,225.84 is: 117,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,587.90 : 432,881.85 = 78,225.84 : x
  2. Step 2: Convert to fraction form
    288,587.90/432,881.85 = 78,225.84/x
  3. Step 3: Cross multiply
    288,587.90x = 432,881.85 × 78,225.84
  4. Step 4: Simplify right side
    288,587.90x = 33,862,546,337.00
  5. Step 5: Solve for x
    x = 33,862,546,337.00/288,587.90
  6. Step 6: Final answer
    x = 117,338.76

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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.