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Finding the Fourth Proportional to 387,011.20, 580,516.80 and 102,701.20

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Solution

The fourth proportional to 387,011.20, 580,516.80 and 102,701.20 is: 154,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,011.20 : 580,516.80 = 102,701.20 : x
  2. Step 2: Convert to fraction form
    387,011.20/580,516.80 = 102,701.20/x
  3. Step 3: Cross multiply
    387,011.20x = 580,516.80 × 102,701.20
  4. Step 4: Simplify right side
    387,011.20x = 59,619,771,980.16
  5. Step 5: Solve for x
    x = 59,619,771,980.16/387,011.20
  6. Step 6: Final answer
    x = 154,051.80

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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.