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Finding the Fourth Proportional to 349,722.80, 523,417.80 and 307,732.40

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Solution

The fourth proportional to 349,722.80, 523,417.80 and 307,732.40 is: 460,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,722.80 : 523,417.80 = 307,732.40 : x
  2. Step 2: Convert to fraction form
    349,722.80/523,417.80 = 307,732.40/x
  3. Step 3: Cross multiply
    349,722.80x = 523,417.80 × 307,732.40
  4. Step 4: Simplify right side
    349,722.80x = 161,072,615,796.72
  5. Step 5: Solve for x
    x = 161,072,615,796.72/349,722.80
  6. Step 6: Final answer
    x = 460,572.25

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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.