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Finding the Fourth Proportional to 564,144.80, 778,540 and 309,503.36

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Solution

The fourth proportional to 564,144.80, 778,540 and 309,503.36 is: 427,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,144.80 : 778,540 = 309,503.36 : x
  2. Step 2: Convert to fraction form
    564,144.80/778,540 = 309,503.36/x
  3. Step 3: Cross multiply
    564,144.80x = 778,540 × 309,503.36
  4. Step 4: Simplify right side
    564,144.80x = 240,960,745,894.40
  5. Step 5: Solve for x
    x = 240,960,745,894.40/564,144.80
  6. Step 6: Final answer
    x = 427,125.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.