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Finding the Fourth Proportional to 385,421.40, 577,397.70 and 207,869.40

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Solution

The fourth proportional to 385,421.40, 577,397.70 and 207,869.40 is: 311,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,421.40 : 577,397.70 = 207,869.40 : x
  2. Step 2: Convert to fraction form
    385,421.40/577,397.70 = 207,869.40/x
  3. Step 3: Cross multiply
    385,421.40x = 577,397.70 × 207,869.40
  4. Step 4: Simplify right side
    385,421.40x = 120,023,313,460.38
  5. Step 5: Solve for x
    x = 120,023,313,460.38/385,421.40
  6. Step 6: Final answer
    x = 311,408.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.