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Finding the Fourth Proportional to 653,514.71, 978,852.45 and 315,847.22

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Solution

The fourth proportional to 653,514.71, 978,852.45 and 315,847.22 is: 473,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,514.71 : 978,852.45 = 315,847.22 : x
  2. Step 2: Convert to fraction form
    653,514.71/978,852.45 = 315,847.22/x
  3. Step 3: Cross multiply
    653,514.71x = 978,852.45 × 315,847.22
  4. Step 4: Simplify right side
    653,514.71x = 309,167,827,895.28
  5. Step 5: Solve for x
    x = 309,167,827,895.28/653,514.71
  6. Step 6: Final answer
    x = 473,084.73

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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.