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Finding the Fourth Proportional to 651,869.16, 978,082.58 and 272,878.46

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Solution

The fourth proportional to 651,869.16, 978,082.58 and 272,878.46 is: 409,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,869.16 : 978,082.58 = 272,878.46 : x
  2. Step 2: Convert to fraction form
    651,869.16/978,082.58 = 272,878.46/x
  3. Step 3: Cross multiply
    651,869.16x = 978,082.58 × 272,878.46
  4. Step 4: Simplify right side
    651,869.16x = 266,897,668,183.23
  5. Step 5: Solve for x
    x = 266,897,668,183.23/651,869.16
  6. Step 6: Final answer
    x = 409,434.42

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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.