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Finding the Fourth Proportional to 508,579.16, 763,116.59 and 209,149.70

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Solution

The fourth proportional to 508,579.16, 763,116.59 and 209,149.70 is: 313,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,579.16 : 763,116.59 = 209,149.70 : x
  2. Step 2: Convert to fraction form
    508,579.16/763,116.59 = 209,149.70/x
  3. Step 3: Cross multiply
    508,579.16x = 763,116.59 × 209,149.70
  4. Step 4: Simplify right side
    508,579.16x = 159,605,602,570.81
  5. Step 5: Solve for x
    x = 159,605,602,570.81/508,579.16
  6. Step 6: Final answer
    x = 313,826.47

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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.