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Finding the Fourth Proportional to 713,794.96, 985,350 and 499,774.24

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Solution

The fourth proportional to 713,794.96, 985,350 and 499,774.24 is: 689,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,794.96 : 985,350 = 499,774.24 : x
  2. Step 2: Convert to fraction form
    713,794.96/985,350 = 499,774.24/x
  3. Step 3: Cross multiply
    713,794.96x = 985,350 × 499,774.24
  4. Step 4: Simplify right side
    713,794.96x = 492,452,547,384
  5. Step 5: Solve for x
    x = 492,452,547,384/713,794.96
  6. Step 6: Final answer
    x = 689,907.57

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Double scale
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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.