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Finding the Fourth Proportional to 459,498.80, 689,248.51 and 143,980.31

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Solution

The fourth proportional to 459,498.80, 689,248.51 and 143,980.31 is: 215,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,498.80 : 689,248.51 = 143,980.31 : x
  2. Step 2: Convert to fraction form
    459,498.80/689,248.51 = 143,980.31/x
  3. Step 3: Cross multiply
    459,498.80x = 689,248.51 × 143,980.31
  4. Step 4: Simplify right side
    459,498.80x = 99,238,215,500.01
  5. Step 5: Solve for x
    x = 99,238,215,500.01/459,498.80
  6. Step 6: Final answer
    x = 215,970.56

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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.