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Finding the Fourth Proportional to 409,875.42, 565,679.91 and 248,721.18

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Solution

The fourth proportional to 409,875.42, 565,679.91 and 248,721.18 is: 343,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,875.42 : 565,679.91 = 248,721.18 : x
  2. Step 2: Convert to fraction form
    409,875.42/565,679.91 = 248,721.18/x
  3. Step 3: Cross multiply
    409,875.42x = 565,679.91 × 248,721.18
  4. Step 4: Simplify right side
    409,875.42x = 140,696,574,717.49
  5. Step 5: Solve for x
    x = 140,696,574,717.49/409,875.42
  6. Step 6: Final answer
    x = 343,266.68

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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.