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Finding the Fourth Proportional to 288,659.42, 432,878.40 and 99,084.46

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Solution

The fourth proportional to 288,659.42, 432,878.40 and 99,084.46 is: 148,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,659.42 : 432,878.40 = 99,084.46 : x
  2. Step 2: Convert to fraction form
    288,659.42/432,878.40 = 99,084.46/x
  3. Step 3: Cross multiply
    288,659.42x = 432,878.40 × 99,084.46
  4. Step 4: Simplify right side
    288,659.42x = 42,891,522,509.66
  5. Step 5: Solve for x
    x = 42,891,522,509.66/288,659.42
  6. Step 6: Final answer
    x = 148,588.68

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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.