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Finding the Fourth Proportional to 423,382.96, 634,174.82 and 286,689.12

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Solution

The fourth proportional to 423,382.96, 634,174.82 and 286,689.12 is: 429,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,382.96 : 634,174.82 = 286,689.12 : x
  2. Step 2: Convert to fraction form
    423,382.96/634,174.82 = 286,689.12/x
  3. Step 3: Cross multiply
    423,382.96x = 634,174.82 × 286,689.12
  4. Step 4: Simplify right side
    423,382.96x = 181,811,017,184.36
  5. Step 5: Solve for x
    x = 181,811,017,184.36/423,382.96
  6. Step 6: Final answer
    x = 429,424.51

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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.