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Finding the Fourth Proportional to 523,730.19, 785,939.79 and 287,238.95

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Solution

The fourth proportional to 523,730.19, 785,939.79 and 287,238.95 is: 431,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,730.19 : 785,939.79 = 287,238.95 : x
  2. Step 2: Convert to fraction form
    523,730.19/785,939.79 = 287,238.95/x
  3. Step 3: Cross multiply
    523,730.19x = 785,939.79 × 287,238.95
  4. Step 4: Simplify right side
    523,730.19x = 225,752,516,113.12
  5. Step 5: Solve for x
    x = 225,752,516,113.12/523,730.19
  6. Step 6: Final answer
    x = 431,047.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.