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Finding the Fourth Proportional to 906,641.36, 1,359,946.68 and 315,650

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Solution

The fourth proportional to 906,641.36, 1,359,946.68 and 315,650 is: 473,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,641.36 : 1,359,946.68 = 315,650 : x
  2. Step 2: Convert to fraction form
    906,641.36/1,359,946.68 = 315,650/x
  3. Step 3: Cross multiply
    906,641.36x = 1,359,946.68 × 315,650
  4. Step 4: Simplify right side
    906,641.36x = 429,267,169,542
  5. Step 5: Solve for x
    x = 429,267,169,542/906,641.36
  6. Step 6: Final answer
    x = 473,469.65

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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.