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Finding the Fourth Proportional to 565,426.71, 780,294.87 and 307,303.65

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Solution

The fourth proportional to 565,426.71, 780,294.87 and 307,303.65 is: 424,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,426.71 : 780,294.87 = 307,303.65 : x
  2. Step 2: Convert to fraction form
    565,426.71/780,294.87 = 307,303.65/x
  3. Step 3: Cross multiply
    565,426.71x = 780,294.87 × 307,303.65
  4. Step 4: Simplify right side
    565,426.71x = 239,787,461,627.28
  5. Step 5: Solve for x
    x = 239,787,461,627.28/565,426.71
  6. Step 6: Final answer
    x = 424,082.30

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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.