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Finding the Fourth Proportional to 389,904, 537,761.76 and 253,980.74

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Solution

The fourth proportional to 389,904, 537,761.76 and 253,980.74 is: 350,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,904 : 537,761.76 = 253,980.74 : x
  2. Step 2: Convert to fraction form
    389,904/537,761.76 = 253,980.74/x
  3. Step 3: Cross multiply
    389,904x = 537,761.76 × 253,980.74
  4. Step 4: Simplify right side
    389,904x = 136,581,129,748.50
  5. Step 5: Solve for x
    x = 136,581,129,748.50/389,904
  6. Step 6: Final answer
    x = 350,294.25

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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.