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Finding the Fourth Proportional to 540,339.16, 745,760.64 and 314,115.88

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Solution

The fourth proportional to 540,339.16, 745,760.64 and 314,115.88 is: 433,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,339.16 : 745,760.64 = 314,115.88 : x
  2. Step 2: Convert to fraction form
    540,339.16/745,760.64 = 314,115.88/x
  3. Step 3: Cross multiply
    540,339.16x = 745,760.64 × 314,115.88
  4. Step 4: Simplify right side
    540,339.16x = 234,255,259,702.96
  5. Step 5: Solve for x
    x = 234,255,259,702.96/540,339.16
  6. Step 6: Final answer
    x = 433,533.75

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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.