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Finding the Fourth Proportional to 387,681.69, 580,928.97 and 260,852.16

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Solution

The fourth proportional to 387,681.69, 580,928.97 and 260,852.16 is: 390,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,681.69 : 580,928.97 = 260,852.16 : x
  2. Step 2: Convert to fraction form
    387,681.69/580,928.97 = 260,852.16/x
  3. Step 3: Cross multiply
    387,681.69x = 580,928.97 × 260,852.16
  4. Step 4: Simplify right side
    387,681.69x = 151,536,576,631.08
  5. Step 5: Solve for x
    x = 151,536,576,631.08/387,681.69
  6. Step 6: Final answer
    x = 390,878.86

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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.