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Finding the Fourth Proportional to 286,510.38, 429,952.05 and 109,018.86

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Solution

The fourth proportional to 286,510.38, 429,952.05 and 109,018.86 is: 163,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,510.38 : 429,952.05 = 109,018.86 : x
  2. Step 2: Convert to fraction form
    286,510.38/429,952.05 = 109,018.86/x
  3. Step 3: Cross multiply
    286,510.38x = 429,952.05 × 109,018.86
  4. Step 4: Simplify right side
    286,510.38x = 46,872,882,345.66
  5. Step 5: Solve for x
    x = 46,872,882,345.66/286,510.38
  6. Step 6: Final answer
    x = 163,599.25

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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.