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Finding the Fourth Proportional to 313,009.72, 469,551.82 and 99,702.71

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Solution

The fourth proportional to 313,009.72, 469,551.82 and 99,702.71 is: 149,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,009.72 : 469,551.82 = 99,702.71 : x
  2. Step 2: Convert to fraction form
    313,009.72/469,551.82 = 99,702.71/x
  3. Step 3: Cross multiply
    313,009.72x = 469,551.82 × 99,702.71
  4. Step 4: Simplify right side
    313,009.72x = 46,815,590,931.41
  5. Step 5: Solve for x
    x = 46,815,590,931.41/313,009.72
  6. Step 6: Final answer
    x = 149,565.93

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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.