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Finding the Fourth Proportional to 431,102.65, 645,549.86 and 359,848.13

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Solution

The fourth proportional to 431,102.65, 645,549.86 and 359,848.13 is: 538,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,102.65 : 645,549.86 = 359,848.13 : x
  2. Step 2: Convert to fraction form
    431,102.65/645,549.86 = 359,848.13/x
  3. Step 3: Cross multiply
    431,102.65x = 645,549.86 × 359,848.13
  4. Step 4: Simplify right side
    431,102.65x = 232,299,908,143.52
  5. Step 5: Solve for x
    x = 232,299,908,143.52/431,102.65
  6. Step 6: Final answer
    x = 538,850.58

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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.