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Finding the Fourth Proportional to 409,618.40, 614,427.60 and 390,264.80

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Solution

The fourth proportional to 409,618.40, 614,427.60 and 390,264.80 is: 585,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,618.40 : 614,427.60 = 390,264.80 : x
  2. Step 2: Convert to fraction form
    409,618.40/614,427.60 = 390,264.80/x
  3. Step 3: Cross multiply
    409,618.40x = 614,427.60 × 390,264.80
  4. Step 4: Simplify right side
    409,618.40x = 239,789,464,428.48
  5. Step 5: Solve for x
    x = 239,789,464,428.48/409,618.40
  6. Step 6: Final answer
    x = 585,397.20

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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.