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Finding the Fourth Proportional to 371,784.74, 513,061.93 and 202,018.86

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Solution

The fourth proportional to 371,784.74, 513,061.93 and 202,018.86 is: 278,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,784.74 : 513,061.93 = 202,018.86 : x
  2. Step 2: Convert to fraction form
    371,784.74/513,061.93 = 202,018.86/x
  3. Step 3: Cross multiply
    371,784.74x = 513,061.93 × 202,018.86
  4. Step 4: Simplify right side
    371,784.74x = 103,648,186,208.00
  5. Step 5: Solve for x
    x = 103,648,186,208.00/371,784.74
  6. Step 6: Final answer
    x = 278,785.48

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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.