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Finding the Fourth Proportional to 342,628.38, 514,047.74 and 153,248.09

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Solution

The fourth proportional to 342,628.38, 514,047.74 and 153,248.09 is: 229,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,628.38 : 514,047.74 = 153,248.09 : x
  2. Step 2: Convert to fraction form
    342,628.38/514,047.74 = 153,248.09/x
  3. Step 3: Cross multiply
    342,628.38x = 514,047.74 × 153,248.09
  4. Step 4: Simplify right side
    342,628.38x = 78,776,830,987.34
  5. Step 5: Solve for x
    x = 78,776,830,987.34/342,628.38
  6. Step 6: Final answer
    x = 229,919.16

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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.