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Finding the Fourth Proportional to 315,768, 473,885.28 and 149,556

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Solution

The fourth proportional to 315,768, 473,885.28 and 149,556 is: 224,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,768 : 473,885.28 = 149,556 : x
  2. Step 2: Convert to fraction form
    315,768/473,885.28 = 149,556/x
  3. Step 3: Cross multiply
    315,768x = 473,885.28 × 149,556
  4. Step 4: Simplify right side
    315,768x = 70,872,386,935.68
  5. Step 5: Solve for x
    x = 70,872,386,935.68/315,768
  6. Step 6: Final answer
    x = 224,444.49

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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.