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Finding the Fourth Proportional to 508,904.40, 762,703.80 and 284,264.40

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Solution

The fourth proportional to 508,904.40, 762,703.80 and 284,264.40 is: 426,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,904.40 : 762,703.80 = 284,264.40 : x
  2. Step 2: Convert to fraction form
    508,904.40/762,703.80 = 284,264.40/x
  3. Step 3: Cross multiply
    508,904.40x = 762,703.80 × 284,264.40
  4. Step 4: Simplify right side
    508,904.40x = 216,809,538,084.72
  5. Step 5: Solve for x
    x = 216,809,538,084.72/508,904.40
  6. Step 6: Final answer
    x = 426,031.96

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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.