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Finding the Fourth Proportional to 261,473.48, 360,803.64 and 146,728.40

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Solution

The fourth proportional to 261,473.48, 360,803.64 and 146,728.40 is: 202,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,473.48 : 360,803.64 = 146,728.40 : x
  2. Step 2: Convert to fraction form
    261,473.48/360,803.64 = 146,728.40/x
  3. Step 3: Cross multiply
    261,473.48x = 360,803.64 × 146,728.40
  4. Step 4: Simplify right side
    261,473.48x = 52,940,140,811.38
  5. Step 5: Solve for x
    x = 52,940,140,811.38/261,473.48
  6. Step 6: Final answer
    x = 202,468.49

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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.