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Finding the Fourth Proportional to 473,721.20, 653,727.32 and 258,856.32

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Solution

The fourth proportional to 473,721.20, 653,727.32 and 258,856.32 is: 357,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,721.20 : 653,727.32 = 258,856.32 : x
  2. Step 2: Convert to fraction form
    473,721.20/653,727.32 = 258,856.32/x
  3. Step 3: Cross multiply
    473,721.20x = 653,727.32 × 258,856.32
  4. Step 4: Simplify right side
    473,721.20x = 169,221,448,338.66
  5. Step 5: Solve for x
    x = 169,221,448,338.66/473,721.20
  6. Step 6: Final answer
    x = 357,217.39

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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.