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Finding the Fourth Proportional to 565,417.68, 780,282.44 and 307,294.62

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Solution

The fourth proportional to 565,417.68, 780,282.44 and 307,294.62 is: 424,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,417.68 : 780,282.44 = 307,294.62 : x
  2. Step 2: Convert to fraction form
    565,417.68/780,282.44 = 307,294.62/x
  3. Step 3: Cross multiply
    565,417.68x = 780,282.44 × 307,294.62
  4. Step 4: Simplify right side
    565,417.68x = 239,776,594,356.00
  5. Step 5: Solve for x
    x = 239,776,594,356.00/565,417.68
  6. Step 6: Final answer
    x = 424,069.86

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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.