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Finding the Fourth Proportional to 210,386.80, 315,580.20 and 147,401.20

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Solution

The fourth proportional to 210,386.80, 315,580.20 and 147,401.20 is: 221,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,386.80 : 315,580.20 = 147,401.20 : x
  2. Step 2: Convert to fraction form
    210,386.80/315,580.20 = 147,401.20/x
  3. Step 3: Cross multiply
    210,386.80x = 315,580.20 × 147,401.20
  4. Step 4: Simplify right side
    210,386.80x = 46,516,900,176.24
  5. Step 5: Solve for x
    x = 46,516,900,176.24/210,386.80
  6. Step 6: Final answer
    x = 221,101.80

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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.