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Finding the Fourth Proportional to 553,640.70, 829,942.65 and 433,631.10

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Solution

The fourth proportional to 553,640.70, 829,942.65 and 433,631.10 is: 650,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,640.70 : 829,942.65 = 433,631.10 : x
  2. Step 2: Convert to fraction form
    553,640.70/829,942.65 = 433,631.10/x
  3. Step 3: Cross multiply
    553,640.70x = 829,942.65 × 433,631.10
  4. Step 4: Simplify right side
    553,640.70x = 359,888,944,256.42
  5. Step 5: Solve for x
    x = 359,888,944,256.42/553,640.70
  6. Step 6: Final answer
    x = 650,040.62

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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.