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Finding the Fourth Proportional to 657,911.10, 986,866.65 and 421,715.10

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Solution

The fourth proportional to 657,911.10, 986,866.65 and 421,715.10 is: 632,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,911.10 : 986,866.65 = 421,715.10 : x
  2. Step 2: Convert to fraction form
    657,911.10/986,866.65 = 421,715.10/x
  3. Step 3: Cross multiply
    657,911.10x = 986,866.65 × 421,715.10
  4. Step 4: Simplify right side
    657,911.10x = 416,176,567,991.42
  5. Step 5: Solve for x
    x = 416,176,567,991.42/657,911.10
  6. Step 6: Final answer
    x = 632,572.65

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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.