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Finding the Fourth Proportional to 285,352, 426,154.12 and 229,277.28

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Solution

The fourth proportional to 285,352, 426,154.12 and 229,277.28 is: 342,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,352 : 426,154.12 = 229,277.28 : x
  2. Step 2: Convert to fraction form
    285,352/426,154.12 = 229,277.28/x
  3. Step 3: Cross multiply
    285,352x = 426,154.12 × 229,277.28
  4. Step 4: Simplify right side
    285,352x = 97,707,457,494.39
  5. Step 5: Solve for x
    x = 97,707,457,494.39/285,352
  6. Step 6: Final answer
    x = 342,410.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.