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Finding the Fourth Proportional to 565,409.39, 780,251.78 and 307,280.21

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Solution

The fourth proportional to 565,409.39, 780,251.78 and 307,280.21 is: 424,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,409.39 : 780,251.78 = 307,280.21 : x
  2. Step 2: Convert to fraction form
    565,409.39/780,251.78 = 307,280.21/x
  3. Step 3: Cross multiply
    565,409.39x = 780,251.78 × 307,280.21
  4. Step 4: Simplify right side
    565,409.39x = 239,755,927,678.22
  5. Step 5: Solve for x
    x = 239,755,927,678.22/565,409.39
  6. Step 6: Final answer
    x = 424,039.53

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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.