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Finding the Fourth Proportional to 287,600.20, 431,400.30 and 77,259.40

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Solution

The fourth proportional to 287,600.20, 431,400.30 and 77,259.40 is: 115,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,600.20 : 431,400.30 = 77,259.40 : x
  2. Step 2: Convert to fraction form
    287,600.20/431,400.30 = 77,259.40/x
  3. Step 3: Cross multiply
    287,600.20x = 431,400.30 × 77,259.40
  4. Step 4: Simplify right side
    287,600.20x = 33,329,728,337.82
  5. Step 5: Solve for x
    x = 33,329,728,337.82/287,600.20
  6. Step 6: Final answer
    x = 115,889.10

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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.