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Finding the Fourth Proportional to 526,077.12, 725,985 and 299,724.24

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Solution

The fourth proportional to 526,077.12, 725,985 and 299,724.24 is: 413,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,077.12 : 725,985 = 299,724.24 : x
  2. Step 2: Convert to fraction form
    526,077.12/725,985 = 299,724.24/x
  3. Step 3: Cross multiply
    526,077.12x = 725,985 × 299,724.24
  4. Step 4: Simplify right side
    526,077.12x = 217,595,302,376.40
  5. Step 5: Solve for x
    x = 217,595,302,376.40/526,077.12
  6. Step 6: Final answer
    x = 413,618.64

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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.