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Finding the Fourth Proportional to 513,100.84, 708,303.96 and 392,247.16

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Solution

The fourth proportional to 513,100.84, 708,303.96 and 392,247.16 is: 541,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,100.84 : 708,303.96 = 392,247.16 : x
  2. Step 2: Convert to fraction form
    513,100.84/708,303.96 = 392,247.16/x
  3. Step 3: Cross multiply
    513,100.84x = 708,303.96 × 392,247.16
  4. Step 4: Simplify right side
    513,100.84x = 277,830,216,726.75
  5. Step 5: Solve for x
    x = 277,830,216,726.75/513,100.84
  6. Step 6: Final answer
    x = 541,472.93

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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.