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Finding the Fourth Proportional to 261,081.60, 390,844.80 and 155,846.40

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Solution

The fourth proportional to 261,081.60, 390,844.80 and 155,846.40 is: 233,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,081.60 : 390,844.80 = 155,846.40 : x
  2. Step 2: Convert to fraction form
    261,081.60/390,844.80 = 155,846.40/x
  3. Step 3: Cross multiply
    261,081.60x = 390,844.80 × 155,846.40
  4. Step 4: Simplify right side
    261,081.60x = 60,911,755,038.72
  5. Step 5: Solve for x
    x = 60,911,755,038.72/261,081.60
  6. Step 6: Final answer
    x = 233,305.43

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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.