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Finding the Fourth Proportional to 614,428.72, 847,827.94 and 342,464.34

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Solution

The fourth proportional to 614,428.72, 847,827.94 and 342,464.34 is: 472,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,428.72 : 847,827.94 = 342,464.34 : x
  2. Step 2: Convert to fraction form
    614,428.72/847,827.94 = 342,464.34/x
  3. Step 3: Cross multiply
    614,428.72x = 847,827.94 × 342,464.34
  4. Step 4: Simplify right side
    614,428.72x = 290,350,835,905.66
  5. Step 5: Solve for x
    x = 290,350,835,905.66/614,428.72
  6. Step 6: Final answer
    x = 472,554.14

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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.