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Finding the Fourth Proportional to 286,437.28, 429,853.12 and 99,448.80

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Solution

The fourth proportional to 286,437.28, 429,853.12 and 99,448.80 is: 149,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,437.28 : 429,853.12 = 99,448.80 : x
  2. Step 2: Convert to fraction form
    286,437.28/429,853.12 = 99,448.80/x
  3. Step 3: Cross multiply
    286,437.28x = 429,853.12 × 99,448.80
  4. Step 4: Simplify right side
    286,437.28x = 42,748,376,960.26
  5. Step 5: Solve for x
    x = 42,748,376,960.26/286,437.28
  6. Step 6: Final answer
    x = 149,241.67

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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.