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Finding the Fourth Proportional to 286,253.40, 429,380.10 and 99,264.90

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Solution

The fourth proportional to 286,253.40, 429,380.10 and 99,264.90 is: 148,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,253.40 : 429,380.10 = 99,264.90 : x
  2. Step 2: Convert to fraction form
    286,253.40/429,380.10 = 99,264.90/x
  3. Step 3: Cross multiply
    286,253.40x = 429,380.10 × 99,264.90
  4. Step 4: Simplify right side
    286,253.40x = 42,622,372,688.49
  5. Step 5: Solve for x
    x = 42,622,372,688.49/286,253.40
  6. Step 6: Final answer
    x = 148,897.35

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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.