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Finding the Fourth Proportional to 315,262.70, 472,116.45 and 209,509.10

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Solution

The fourth proportional to 315,262.70, 472,116.45 and 209,509.10 is: 313,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,262.70 : 472,116.45 = 209,509.10 : x
  2. Step 2: Convert to fraction form
    315,262.70/472,116.45 = 209,509.10/x
  3. Step 3: Cross multiply
    315,262.70x = 472,116.45 × 209,509.10
  4. Step 4: Simplify right side
    315,262.70x = 98,912,692,534.70
  5. Step 5: Solve for x
    x = 98,912,692,534.70/315,262.70
  6. Step 6: Final answer
    x = 313,746.89

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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.