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Finding the Fourth Proportional to 500,196, 750,209.25 and 140,284.14

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Solution

The fourth proportional to 500,196, 750,209.25 and 140,284.14 is: 210,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,196 : 750,209.25 = 140,284.14 : x
  2. Step 2: Convert to fraction form
    500,196/750,209.25 = 140,284.14/x
  3. Step 3: Cross multiply
    500,196x = 750,209.25 × 140,284.14
  4. Step 4: Simplify right side
    500,196x = 105,242,459,456.30
  5. Step 5: Solve for x
    x = 105,242,459,456.30/500,196
  6. Step 6: Final answer
    x = 210,402.44

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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.