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Finding the Fourth Proportional to 421,335.16, 581,444.52 and 230,348.50

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Solution

The fourth proportional to 421,335.16, 581,444.52 and 230,348.50 is: 317,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,335.16 : 581,444.52 = 230,348.50 : x
  2. Step 2: Convert to fraction form
    421,335.16/581,444.52 = 230,348.50/x
  3. Step 3: Cross multiply
    421,335.16x = 581,444.52 × 230,348.50
  4. Step 4: Simplify right side
    421,335.16x = 133,934,873,015.22
  5. Step 5: Solve for x
    x = 133,934,873,015.22/421,335.16
  6. Step 6: Final answer
    x = 317,882.02

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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.