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Finding the Fourth Proportional to 610,490, 842,478.62 and 338,583.16

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Solution

The fourth proportional to 610,490, 842,478.62 and 338,583.16 is: 467,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,490 : 842,478.62 = 338,583.16 : x
  2. Step 2: Convert to fraction form
    610,490/842,478.62 = 338,583.16/x
  3. Step 3: Cross multiply
    610,490x = 842,478.62 × 338,583.16
  4. Step 4: Simplify right side
    610,490x = 285,249,073,392.04
  5. Step 5: Solve for x
    x = 285,249,073,392.04/610,490
  6. Step 6: Final answer
    x = 467,246.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.