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Finding the Fourth Proportional to 565,707, 780,675.66 and 339,425.40

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Solution

The fourth proportional to 565,707, 780,675.66 and 339,425.40 is: 468,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,707 : 780,675.66 = 339,425.40 : x
  2. Step 2: Convert to fraction form
    565,707/780,675.66 = 339,425.40/x
  3. Step 3: Cross multiply
    565,707x = 780,675.66 × 339,425.40
  4. Step 4: Simplify right side
    565,707x = 264,981,148,165.76
  5. Step 5: Solve for x
    x = 264,981,148,165.76/565,707
  6. Step 6: Final answer
    x = 468,407.05

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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.