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Finding the Fourth Proportional to 286,644.20, 429,966.30 and 99,655.70

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Solution

The fourth proportional to 286,644.20, 429,966.30 and 99,655.70 is: 149,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,644.20 : 429,966.30 = 99,655.70 : x
  2. Step 2: Convert to fraction form
    286,644.20/429,966.30 = 99,655.70/x
  3. Step 3: Cross multiply
    286,644.20x = 429,966.30 × 99,655.70
  4. Step 4: Simplify right side
    286,644.20x = 42,848,592,602.91
  5. Step 5: Solve for x
    x = 42,848,592,602.91/286,644.20
  6. Step 6: Final answer
    x = 149,483.55

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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.