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Finding the Fourth Proportional to 565,417.97, 780,282.83 and 307,294.92

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Solution

The fourth proportional to 565,417.97, 780,282.83 and 307,294.92 is: 424,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,417.97 : 780,282.83 = 307,294.92 : x
  2. Step 2: Convert to fraction form
    565,417.97/780,282.83 = 307,294.92/x
  3. Step 3: Cross multiply
    565,417.97x = 780,282.83 × 307,294.92
  4. Step 4: Simplify right side
    565,417.97x = 239,776,947,871.52
  5. Step 5: Solve for x
    x = 239,776,947,871.52/565,417.97
  6. Step 6: Final answer
    x = 424,070.26

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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.