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Finding the Fourth Proportional to 508,584.90, 701,869.02 and 282,230.40

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Solution

The fourth proportional to 508,584.90, 701,869.02 and 282,230.40 is: 389,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,584.90 : 701,869.02 = 282,230.40 : x
  2. Step 2: Convert to fraction form
    508,584.90/701,869.02 = 282,230.40/x
  3. Step 3: Cross multiply
    508,584.90x = 701,869.02 × 282,230.40
  4. Step 4: Simplify right side
    508,584.90x = 198,088,774,262.21
  5. Step 5: Solve for x
    x = 198,088,774,262.21/508,584.90
  6. Step 6: Final answer
    x = 389,490.08

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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.