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Finding the Fourth Proportional to 459,424.61, 689,210.42 and 159,990.29

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Solution

The fourth proportional to 459,424.61, 689,210.42 and 159,990.29 is: 240,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,424.61 : 689,210.42 = 159,990.29 : x
  2. Step 2: Convert to fraction form
    459,424.61/689,210.42 = 159,990.29/x
  3. Step 3: Cross multiply
    459,424.61x = 689,210.42 × 159,990.29
  4. Step 4: Simplify right side
    459,424.61x = 110,266,974,205.30
  5. Step 5: Solve for x
    x = 110,266,974,205.30/459,424.61
  6. Step 6: Final answer
    x = 240,011.03

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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.