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Finding the Fourth Proportional to 287,656.10, 432,002.55 and 278,324.90

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Solution

The fourth proportional to 287,656.10, 432,002.55 and 278,324.90 is: 417,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,656.10 : 432,002.55 = 278,324.90 : x
  2. Step 2: Convert to fraction form
    287,656.10/432,002.55 = 278,324.90/x
  3. Step 3: Cross multiply
    287,656.10x = 432,002.55 × 278,324.90
  4. Step 4: Simplify right side
    287,656.10x = 120,237,066,528.50
  5. Step 5: Solve for x
    x = 120,237,066,528.50/287,656.10
  6. Step 6: Final answer
    x = 417,988.93

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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.