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Finding the Fourth Proportional to 226,368.16, 312,394.80 and 130,866.40

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Solution

The fourth proportional to 226,368.16, 312,394.80 and 130,866.40 is: 180,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,368.16 : 312,394.80 = 130,866.40 : x
  2. Step 2: Convert to fraction form
    226,368.16/312,394.80 = 130,866.40/x
  3. Step 3: Cross multiply
    226,368.16x = 312,394.80 × 130,866.40
  4. Step 4: Simplify right side
    226,368.16x = 40,881,982,854.72
  5. Step 5: Solve for x
    x = 40,881,982,854.72/226,368.16
  6. Step 6: Final answer
    x = 180,599.53

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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.