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Finding the Fourth Proportional to 415,987.38, 624,106.35 and 175,977.72

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Solution

The fourth proportional to 415,987.38, 624,106.35 and 175,977.72 is: 264,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,987.38 : 624,106.35 = 175,977.72 : x
  2. Step 2: Convert to fraction form
    415,987.38/624,106.35 = 175,977.72/x
  3. Step 3: Cross multiply
    415,987.38x = 624,106.35 × 175,977.72
  4. Step 4: Simplify right side
    415,987.38x = 109,828,812,510.52
  5. Step 5: Solve for x
    x = 109,828,812,510.52/415,987.38
  6. Step 6: Final answer
    x = 264,019.58

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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.