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Finding the Fourth Proportional to 502,390.71, 693,102.83 and 287,415.63

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Solution

The fourth proportional to 502,390.71, 693,102.83 and 287,415.63 is: 396,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,390.71 : 693,102.83 = 287,415.63 : x
  2. Step 2: Convert to fraction form
    502,390.71/693,102.83 = 287,415.63/x
  3. Step 3: Cross multiply
    502,390.71x = 693,102.83 × 287,415.63
  4. Step 4: Simplify right side
    502,390.71x = 199,208,585,102.16
  5. Step 5: Solve for x
    x = 199,208,585,102.16/502,390.71
  6. Step 6: Final answer
    x = 396,521.24

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1.5x scale

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.