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Finding the Fourth Proportional to 282,818.91, 390,234.12 and 158,643.87

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Solution

The fourth proportional to 282,818.91, 390,234.12 and 158,643.87 is: 218,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,818.91 : 390,234.12 = 158,643.87 : x
  2. Step 2: Convert to fraction form
    282,818.91/390,234.12 = 158,643.87/x
  3. Step 3: Cross multiply
    282,818.91x = 390,234.12 × 158,643.87
  4. Step 4: Simplify right side
    282,818.91x = 61,908,251,002.84
  5. Step 5: Solve for x
    x = 61,908,251,002.84/282,818.91
  6. Step 6: Final answer
    x = 218,897.14

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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.