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Finding the Fourth Proportional to 653,504.71, 978,837.53 and 315,837.20

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Solution

The fourth proportional to 653,504.71, 978,837.53 and 315,837.20 is: 473,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,504.71 : 978,837.53 = 315,837.20 : x
  2. Step 2: Convert to fraction form
    653,504.71/978,837.53 = 315,837.20/x
  3. Step 3: Cross multiply
    653,504.71x = 978,837.53 × 315,837.20
  4. Step 4: Simplify right side
    653,504.71x = 309,153,305,598.02
  5. Step 5: Solve for x
    x = 309,153,305,598.02/653,504.71
  6. Step 6: Final answer
    x = 473,069.74

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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.