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Finding the Fourth Proportional to 371,030.61, 512,024.14 and 209,882.20

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Solution

The fourth proportional to 371,030.61, 512,024.14 and 209,882.20 is: 289,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,030.61 : 512,024.14 = 209,882.20 : x
  2. Step 2: Convert to fraction form
    371,030.61/512,024.14 = 209,882.20/x
  3. Step 3: Cross multiply
    371,030.61x = 512,024.14 × 209,882.20
  4. Step 4: Simplify right side
    371,030.61x = 107,464,754,818.74
  5. Step 5: Solve for x
    x = 107,464,754,818.74/371,030.61
  6. Step 6: Final answer
    x = 289,638.51

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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.