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Finding the Fourth Proportional to 415,509.80, 623,264.70 and 135,055.40

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Solution

The fourth proportional to 415,509.80, 623,264.70 and 135,055.40 is: 202,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,509.80 : 623,264.70 = 135,055.40 : x
  2. Step 2: Convert to fraction form
    415,509.80/623,264.70 = 135,055.40/x
  3. Step 3: Cross multiply
    415,509.80x = 623,264.70 × 135,055.40
  4. Step 4: Simplify right side
    415,509.80x = 84,175,263,364.38
  5. Step 5: Solve for x
    x = 84,175,263,364.38/415,509.80
  6. Step 6: Final answer
    x = 202,583.10

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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.