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Finding the Fourth Proportional to 657,471.60, 986,207.40 and 421,275.60

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Solution

The fourth proportional to 657,471.60, 986,207.40 and 421,275.60 is: 631,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,471.60 : 986,207.40 = 421,275.60 : x
  2. Step 2: Convert to fraction form
    657,471.60/986,207.40 = 421,275.60/x
  3. Step 3: Cross multiply
    657,471.60x = 986,207.40 × 421,275.60
  4. Step 4: Simplify right side
    657,471.60x = 415,465,114,159.44
  5. Step 5: Solve for x
    x = 415,465,114,159.44/657,471.60
  6. Step 6: Final answer
    x = 631,913.40

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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.