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Finding the Fourth Proportional to 517,988.35, 714,856.78 and 314,058.80

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Solution

The fourth proportional to 517,988.35, 714,856.78 and 314,058.80 is: 433,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,988.35 : 714,856.78 = 314,058.80 : x
  2. Step 2: Convert to fraction form
    517,988.35/714,856.78 = 314,058.80/x
  3. Step 3: Cross multiply
    517,988.35x = 714,856.78 × 314,058.80
  4. Step 4: Simplify right side
    517,988.35x = 224,507,059,926.38
  5. Step 5: Solve for x
    x = 224,507,059,926.38/517,988.35
  6. Step 6: Final answer
    x = 433,421.06

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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.