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Finding the Fourth Proportional to 508,345.36, 762,271 and 153,293.20

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Solution

The fourth proportional to 508,345.36, 762,271 and 153,293.20 is: 229,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,345.36 : 762,271 = 153,293.20 : x
  2. Step 2: Convert to fraction form
    508,345.36/762,271 = 153,293.20/x
  3. Step 3: Cross multiply
    508,345.36x = 762,271 × 153,293.20
  4. Step 4: Simplify right side
    508,345.36x = 116,850,960,857.20
  5. Step 5: Solve for x
    x = 116,850,960,857.20/508,345.36
  6. Step 6: Final answer
    x = 229,865.30

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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.