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Finding the Fourth Proportional to 713,787.57, 985,109.13 and 427,307.58

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Solution

The fourth proportional to 713,787.57, 985,109.13 and 427,307.58 is: 589,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,787.57 : 985,109.13 = 427,307.58 : x
  2. Step 2: Convert to fraction form
    713,787.57/985,109.13 = 427,307.58/x
  3. Step 3: Cross multiply
    713,787.57x = 985,109.13 × 427,307.58
  4. Step 4: Simplify right side
    713,787.57x = 420,944,598,376.21
  5. Step 5: Solve for x
    x = 420,944,598,376.21/713,787.57
  6. Step 6: Final answer
    x = 589,733.72

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1.5x scale

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.