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Finding the Fourth Proportional to 514,278.64, 772,154.25 and 314,994.34

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Solution

The fourth proportional to 514,278.64, 772,154.25 and 314,994.34 is: 472,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,278.64 : 772,154.25 = 314,994.34 : x
  2. Step 2: Convert to fraction form
    514,278.64/772,154.25 = 314,994.34/x
  3. Step 3: Cross multiply
    514,278.64x = 772,154.25 × 314,994.34
  4. Step 4: Simplify right side
    514,278.64x = 243,224,218,356.95
  5. Step 5: Solve for x
    x = 243,224,218,356.95/514,278.64
  6. Step 6: Final answer
    x = 472,942.49

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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.