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Finding the Fourth Proportional to 230,041.98, 317,430.36 and 128,043

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Solution

The fourth proportional to 230,041.98, 317,430.36 and 128,043 is: 176,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,041.98 : 317,430.36 = 128,043 : x
  2. Step 2: Convert to fraction form
    230,041.98/317,430.36 = 128,043/x
  3. Step 3: Cross multiply
    230,041.98x = 317,430.36 × 128,043
  4. Step 4: Simplify right side
    230,041.98x = 40,644,735,585.48
  5. Step 5: Solve for x
    x = 40,644,735,585.48/230,041.98
  6. Step 6: Final answer
    x = 176,683.99

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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.