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Finding the Fourth Proportional to 502,686.48, 693,707.40 and 287,897.76

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Solution

The fourth proportional to 502,686.48, 693,707.40 and 287,897.76 is: 397,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,686.48 : 693,707.40 = 287,897.76 : x
  2. Step 2: Convert to fraction form
    502,686.48/693,707.40 = 287,897.76/x
  3. Step 3: Cross multiply
    502,686.48x = 693,707.40 × 287,897.76
  4. Step 4: Simplify right side
    502,686.48x = 199,716,806,555.42
  5. Step 5: Solve for x
    x = 199,716,806,555.42/502,686.48
  6. Step 6: Final answer
    x = 397,298.94

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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.