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Finding the Fourth Proportional to 349,778.40, 525,704.40 and 304,159.20

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Solution

The fourth proportional to 349,778.40, 525,704.40 and 304,159.20 is: 457,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,778.40 : 525,704.40 = 304,159.20 : x
  2. Step 2: Convert to fraction form
    349,778.40/525,704.40 = 304,159.20/x
  3. Step 3: Cross multiply
    349,778.40x = 525,704.40 × 304,159.20
  4. Step 4: Simplify right side
    349,778.40x = 159,897,829,740.48
  5. Step 5: Solve for x
    x = 159,897,829,740.48/349,778.40
  6. Step 6: Final answer
    x = 457,140.38

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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.