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Finding the Fourth Proportional to 503,565.84, 695,014.02 and 288,707.40

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Solution

The fourth proportional to 503,565.84, 695,014.02 and 288,707.40 is: 398,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,565.84 : 695,014.02 = 288,707.40 : x
  2. Step 2: Convert to fraction form
    503,565.84/695,014.02 = 288,707.40/x
  3. Step 3: Cross multiply
    503,565.84x = 695,014.02 × 288,707.40
  4. Step 4: Simplify right side
    503,565.84x = 200,655,690,677.75
  5. Step 5: Solve for x
    x = 200,655,690,677.75/503,565.84
  6. Step 6: Final answer
    x = 398,469.62

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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.