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Finding the Fourth Proportional to 261,798.32, 361,269.24 and 148,605.68

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Solution

The fourth proportional to 261,798.32, 361,269.24 and 148,605.68 is: 205,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,798.32 : 361,269.24 = 148,605.68 : x
  2. Step 2: Convert to fraction form
    261,798.32/361,269.24 = 148,605.68/x
  3. Step 3: Cross multiply
    261,798.32x = 361,269.24 × 148,605.68
  4. Step 4: Simplify right side
    261,798.32x = 53,686,661,073.28
  5. Step 5: Solve for x
    x = 53,686,661,073.28/261,798.32
  6. Step 6: Final answer
    x = 205,068.78

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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.