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Finding the Fourth Proportional to 566,294.36, 781,470.51 and 321,323.72

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Solution

The fourth proportional to 566,294.36, 781,470.51 and 321,323.72 is: 443,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,294.36 : 781,470.51 = 321,323.72 : x
  2. Step 2: Convert to fraction form
    566,294.36/781,470.51 = 321,323.72/x
  3. Step 3: Cross multiply
    566,294.36x = 781,470.51 × 321,323.72
  4. Step 4: Simplify right side
    566,294.36x = 251,105,011,343.50
  5. Step 5: Solve for x
    x = 251,105,011,343.50/566,294.36
  6. Step 6: Final answer
    x = 443,417.82

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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.