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Finding the Fourth Proportional to 232,978.40, 349,726.80 and 128,002.40

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Solution

The fourth proportional to 232,978.40, 349,726.80 and 128,002.40 is: 192,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,978.40 : 349,726.80 = 128,002.40 : x
  2. Step 2: Convert to fraction form
    232,978.40/349,726.80 = 128,002.40/x
  3. Step 3: Cross multiply
    232,978.40x = 349,726.80 × 128,002.40
  4. Step 4: Simplify right side
    232,978.40x = 44,765,869,744.32
  5. Step 5: Solve for x
    x = 44,765,869,744.32/232,978.40
  6. Step 6: Final answer
    x = 192,146.01

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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.