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Finding the Fourth Proportional to 313,008.40, 469,547.08 and 99,726.69

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Solution

The fourth proportional to 313,008.40, 469,547.08 and 99,726.69 is: 149,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,008.40 : 469,547.08 = 99,726.69 : x
  2. Step 2: Convert to fraction form
    313,008.40/469,547.08 = 99,726.69/x
  3. Step 3: Cross multiply
    313,008.40x = 469,547.08 × 99,726.69
  4. Step 4: Simplify right side
    313,008.40x = 46,826,377,599.05
  5. Step 5: Solve for x
    x = 46,826,377,599.05/313,008.40
  6. Step 6: Final answer
    x = 149,601.02

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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.