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Finding the Fourth Proportional to 513,341.20, 769,952.98 and 134,298.51

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Solution

The fourth proportional to 513,341.20, 769,952.98 and 134,298.51 is: 201,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,341.20 : 769,952.98 = 134,298.51 : x
  2. Step 2: Convert to fraction form
    513,341.20/769,952.98 = 134,298.51/x
  3. Step 3: Cross multiply
    513,341.20x = 769,952.98 × 134,298.51
  4. Step 4: Simplify right side
    513,341.20x = 103,403,538,840.17
  5. Step 5: Solve for x
    x = 103,403,538,840.17/513,341.20
  6. Step 6: Final answer
    x = 201,432.38

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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.