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Finding the Fourth Proportional to 502,526.94, 693,535.95 and 287,697.66

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Solution

The fourth proportional to 502,526.94, 693,535.95 and 287,697.66 is: 397,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,526.94 : 693,535.95 = 287,697.66 : x
  2. Step 2: Convert to fraction form
    502,526.94/693,535.95 = 287,697.66/x
  3. Step 3: Cross multiply
    502,526.94x = 693,535.95 × 287,697.66
  4. Step 4: Simplify right side
    502,526.94x = 199,528,669,940.88
  5. Step 5: Solve for x
    x = 199,528,669,940.88/502,526.94
  6. Step 6: Final answer
    x = 397,050.69

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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.