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Finding the Fourth Proportional to 540,506, 745,921.32 and 302,042

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Solution

The fourth proportional to 540,506, 745,921.32 and 302,042 is: 416,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,506 : 745,921.32 = 302,042 : x
  2. Step 2: Convert to fraction form
    540,506/745,921.32 = 302,042/x
  3. Step 3: Cross multiply
    540,506x = 745,921.32 × 302,042
  4. Step 4: Simplify right side
    540,506x = 225,299,567,335.44
  5. Step 5: Solve for x
    x = 225,299,567,335.44/540,506
  6. Step 6: Final answer
    x = 416,830.84

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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.