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Finding the Fourth Proportional to 653,509.23, 978,844.29 and 315,841.71

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Solution

The fourth proportional to 653,509.23, 978,844.29 and 315,841.71 is: 473,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,509.23 : 978,844.29 = 315,841.71 : x
  2. Step 2: Convert to fraction form
    653,509.23/978,844.29 = 315,841.71/x
  3. Step 3: Cross multiply
    653,509.23x = 978,844.29 × 315,841.71
  4. Step 4: Simplify right side
    653,509.23x = 309,159,854,377.34
  5. Step 5: Solve for x
    x = 309,159,854,377.34/653,509.23
  6. Step 6: Final answer
    x = 473,076.49

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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.