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Finding the Fourth Proportional to 553,376.40, 829,951.20 and 153,916.80

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Solution

The fourth proportional to 553,376.40, 829,951.20 and 153,916.80 is: 230,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,376.40 : 829,951.20 = 153,916.80 : x
  2. Step 2: Convert to fraction form
    553,376.40/829,951.20 = 153,916.80/x
  3. Step 3: Cross multiply
    553,376.40x = 829,951.20 × 153,916.80
  4. Step 4: Simplify right side
    553,376.40x = 127,743,432,860.16
  5. Step 5: Solve for x
    x = 127,743,432,860.16/553,376.40
  6. Step 6: Final answer
    x = 230,843.66

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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.