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Finding the Fourth Proportional to 230,024.40, 317,442.78 and 128,054.40

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Solution

The fourth proportional to 230,024.40, 317,442.78 and 128,054.40 is: 176,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,024.40 : 317,442.78 = 128,054.40 : x
  2. Step 2: Convert to fraction form
    230,024.40/317,442.78 = 128,054.40/x
  3. Step 3: Cross multiply
    230,024.40x = 317,442.78 × 128,054.40
  4. Step 4: Simplify right side
    230,024.40x = 40,649,944,727.23
  5. Step 5: Solve for x
    x = 40,649,944,727.23/230,024.40
  6. Step 6: Final answer
    x = 176,720.14

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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.