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Finding the Fourth Proportional to 287,655.10, 432,001.05 and 278,323.90

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Solution

The fourth proportional to 287,655.10, 432,001.05 and 278,323.90 is: 417,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,655.10 : 432,001.05 = 278,323.90 : x
  2. Step 2: Convert to fraction form
    287,655.10/432,001.05 = 278,323.90/x
  3. Step 3: Cross multiply
    287,655.10x = 432,001.05 × 278,323.90
  4. Step 4: Simplify right side
    287,655.10x = 120,236,217,040.10
  5. Step 5: Solve for x
    x = 120,236,217,040.10/287,655.10
  6. Step 6: Final answer
    x = 417,987.43

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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.