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Finding the Fourth Proportional to 208,024.30, 312,036.45 and 155,536.30

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Solution

The fourth proportional to 208,024.30, 312,036.45 and 155,536.30 is: 233,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,024.30 : 312,036.45 = 155,536.30 : x
  2. Step 2: Convert to fraction form
    208,024.30/312,036.45 = 155,536.30/x
  3. Step 3: Cross multiply
    208,024.30x = 312,036.45 × 155,536.30
  4. Step 4: Simplify right side
    208,024.30x = 48,532,994,898.14
  5. Step 5: Solve for x
    x = 48,532,994,898.14/208,024.30
  6. Step 6: Final answer
    x = 233,304.45

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1.5x scale

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.