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Finding the Fourth Proportional to 628,053.40, 866,706.42 and 341,567.20

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Solution

The fourth proportional to 628,053.40, 866,706.42 and 341,567.20 is: 471,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,053.40 : 866,706.42 = 341,567.20 : x
  2. Step 2: Convert to fraction form
    628,053.40/866,706.42 = 341,567.20/x
  3. Step 3: Cross multiply
    628,053.40x = 866,706.42 × 341,567.20
  4. Step 4: Simplify right side
    628,053.40x = 296,038,485,101.42
  5. Step 5: Solve for x
    x = 296,038,485,101.42/628,053.40
  6. Step 6: Final answer
    x = 471,358.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.