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Finding the Fourth Proportional to 709,441.04, 977,365.15 and 494,191.64

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Solution

The fourth proportional to 709,441.04, 977,365.15 and 494,191.64 is: 680,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,441.04 : 977,365.15 = 494,191.64 : x
  2. Step 2: Convert to fraction form
    709,441.04/977,365.15 = 494,191.64/x
  3. Step 3: Cross multiply
    709,441.04x = 977,365.15 × 494,191.64
  4. Step 4: Simplify right side
    709,441.04x = 483,005,680,235.04
  5. Step 5: Solve for x
    x = 483,005,680,235.04/709,441.04
  6. Step 6: Final answer
    x = 680,825.69

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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.