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Finding the Fourth Proportional to 383,242.04, 575,109.02 and 257,024.76

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Solution

The fourth proportional to 383,242.04, 575,109.02 and 257,024.76 is: 385,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,242.04 : 575,109.02 = 257,024.76 : x
  2. Step 2: Convert to fraction form
    383,242.04/575,109.02 = 257,024.76/x
  3. Step 3: Cross multiply
    383,242.04x = 575,109.02 × 257,024.76
  4. Step 4: Simplify right side
    383,242.04x = 147,817,257,839.34
  5. Step 5: Solve for x
    x = 147,817,257,839.34/383,242.04
  6. Step 6: Final answer
    x = 385,702.10

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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.