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Finding the Fourth Proportional to 261,609.65, 360,959.64 and 148,432.40

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Solution

The fourth proportional to 261,609.65, 360,959.64 and 148,432.40 is: 204,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,609.65 : 360,959.64 = 148,432.40 : x
  2. Step 2: Convert to fraction form
    261,609.65/360,959.64 = 148,432.40/x
  3. Step 3: Cross multiply
    261,609.65x = 360,959.64 × 148,432.40
  4. Step 4: Simplify right side
    261,609.65x = 53,578,105,495.45
  5. Step 5: Solve for x
    x = 53,578,105,495.45/261,609.65
  6. Step 6: Final answer
    x = 204,801.72

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1.5x scale

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.