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Finding the Fourth Proportional to 657,341, 986,159.18 and 208,088.80

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Solution

The fourth proportional to 657,341, 986,159.18 and 208,088.80 is: 312,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,341 : 986,159.18 = 208,088.80 : x
  2. Step 2: Convert to fraction form
    657,341/986,159.18 = 208,088.80/x
  3. Step 3: Cross multiply
    657,341x = 986,159.18 × 208,088.80
  4. Step 4: Simplify right side
    657,341x = 205,208,680,375.18
  5. Step 5: Solve for x
    x = 205,208,680,375.18/657,341
  6. Step 6: Final answer
    x = 312,179.95

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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.