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Finding the Fourth Proportional to 557,264.57, 769,028.04 and 315,594.18

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Solution

The fourth proportional to 557,264.57, 769,028.04 and 315,594.18 is: 435,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,264.57 : 769,028.04 = 315,594.18 : x
  2. Step 2: Convert to fraction form
    557,264.57/769,028.04 = 315,594.18/x
  3. Step 3: Cross multiply
    557,264.57x = 769,028.04 × 315,594.18
  4. Step 4: Simplify right side
    557,264.57x = 242,700,773,680.81
  5. Step 5: Solve for x
    x = 242,700,773,680.81/557,264.57
  6. Step 6: Final answer
    x = 435,521.63

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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.