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Finding the Fourth Proportional to 286,294.59, 429,409.08 and 75,948.93

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Solution

The fourth proportional to 286,294.59, 429,409.08 and 75,948.93 is: 113,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,294.59 : 429,409.08 = 75,948.93 : x
  2. Step 2: Convert to fraction form
    286,294.59/429,409.08 = 75,948.93/x
  3. Step 3: Cross multiply
    286,294.59x = 429,409.08 × 75,948.93
  4. Step 4: Simplify right side
    286,294.59x = 32,613,160,158.28
  5. Step 5: Solve for x
    x = 32,613,160,158.28/286,294.59
  6. Step 6: Final answer
    x = 113,914.69

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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.