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Finding the Fourth Proportional to 230,385.90, 317,894.01 and 128,389.01

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Solution

The fourth proportional to 230,385.90, 317,894.01 and 128,389.01 is: 177,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,385.90 : 317,894.01 = 128,389.01 : x
  2. Step 2: Convert to fraction form
    230,385.90/317,894.01 = 128,389.01/x
  3. Step 3: Cross multiply
    230,385.90x = 317,894.01 × 128,389.01
  4. Step 4: Simplify right side
    230,385.90x = 40,814,095,639.36
  5. Step 5: Solve for x
    x = 40,814,095,639.36/230,385.90
  6. Step 6: Final answer
    x = 177,155.35

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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.