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Finding the Fourth Proportional to 387,721.71, 535,020.66 and 224,349.98

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Solution

The fourth proportional to 387,721.71, 535,020.66 and 224,349.98 is: 309,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,721.71 : 535,020.66 = 224,349.98 : x
  2. Step 2: Convert to fraction form
    387,721.71/535,020.66 = 224,349.98/x
  3. Step 3: Cross multiply
    387,721.71x = 535,020.66 × 224,349.98
  4. Step 4: Simplify right side
    387,721.71x = 120,031,871,695.48
  5. Step 5: Solve for x
    x = 120,031,871,695.48/387,721.71
  6. Step 6: Final answer
    x = 309,582.54

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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.