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Finding the Fourth Proportional to 286,167.40, 429,308.70 and 99,140.20

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Solution

The fourth proportional to 286,167.40, 429,308.70 and 99,140.20 is: 148,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,167.40 : 429,308.70 = 99,140.20 : x
  2. Step 2: Convert to fraction form
    286,167.40/429,308.70 = 99,140.20/x
  3. Step 3: Cross multiply
    286,167.40x = 429,308.70 × 99,140.20
  4. Step 4: Simplify right side
    286,167.40x = 42,561,750,379.74
  5. Step 5: Solve for x
    x = 42,561,750,379.74/286,167.40
  6. Step 6: Final answer
    x = 148,730.26

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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.