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Finding the Fourth Proportional to 565,508.17, 780,406.82 and 307,384.95

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Solution

The fourth proportional to 565,508.17, 780,406.82 and 307,384.95 is: 424,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,508.17 : 780,406.82 = 307,384.95 : x
  2. Step 2: Convert to fraction form
    565,508.17/780,406.82 = 307,384.95/x
  3. Step 3: Cross multiply
    565,508.17x = 780,406.82 × 307,384.95
  4. Step 4: Simplify right side
    565,508.17x = 239,885,311,759.45
  5. Step 5: Solve for x
    x = 239,885,311,759.45/565,508.17
  6. Step 6: Final answer
    x = 424,194.25

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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.