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Finding the Fourth Proportional to 553,402.34, 828,227.06 and 340,304.12

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Solution

The fourth proportional to 553,402.34, 828,227.06 and 340,304.12 is: 509,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,402.34 : 828,227.06 = 340,304.12 : x
  2. Step 2: Convert to fraction form
    553,402.34/828,227.06 = 340,304.12/x
  3. Step 3: Cross multiply
    553,402.34x = 828,227.06 × 340,304.12
  4. Step 4: Simplify right side
    553,402.34x = 281,849,080,813.49
  5. Step 5: Solve for x
    x = 281,849,080,813.49/553,402.34
  6. Step 6: Final answer
    x = 509,302.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.