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Finding the Fourth Proportional to 495,172.16, 742,758.12 and 140,189.12

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Solution

The fourth proportional to 495,172.16, 742,758.12 and 140,189.12 is: 210,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,172.16 : 742,758.12 = 140,189.12 : x
  2. Step 2: Convert to fraction form
    495,172.16/742,758.12 = 140,189.12/x
  3. Step 3: Cross multiply
    495,172.16x = 742,758.12 × 140,189.12
  4. Step 4: Simplify right side
    495,172.16x = 104,126,607,215.65
  5. Step 5: Solve for x
    x = 104,126,607,215.65/495,172.16
  6. Step 6: Final answer
    x = 210,283.65

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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.