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Finding the Fourth Proportional to 409,574.59, 614,263.47 and 209,792.14

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Solution

The fourth proportional to 409,574.59, 614,263.47 and 209,792.14 is: 314,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,574.59 : 614,263.47 = 209,792.14 : x
  2. Step 2: Convert to fraction form
    409,574.59/614,263.47 = 209,792.14/x
  3. Step 3: Cross multiply
    409,574.59x = 614,263.47 × 209,792.14
  4. Step 4: Simplify right side
    409,574.59x = 128,867,645,572.75
  5. Step 5: Solve for x
    x = 128,867,645,572.75/409,574.59
  6. Step 6: Final answer
    x = 314,637.80

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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.