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Finding the Fourth Proportional to 431,875.40, 596,179.17 and 278,988.14

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Solution

The fourth proportional to 431,875.40, 596,179.17 and 278,988.14 is: 385,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,875.40 : 596,179.17 = 278,988.14 : x
  2. Step 2: Convert to fraction form
    431,875.40/596,179.17 = 278,988.14/x
  3. Step 3: Cross multiply
    431,875.40x = 596,179.17 × 278,988.14
  4. Step 4: Simplify right side
    431,875.40x = 166,326,919,235.49
  5. Step 5: Solve for x
    x = 166,326,919,235.49/431,875.40
  6. Step 6: Final answer
    x = 385,127.10

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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.