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Finding the Fourth Proportional to 459,590.18, 689,384.86 and 139,744.67

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Solution

The fourth proportional to 459,590.18, 689,384.86 and 139,744.67 is: 209,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,590.18 : 689,384.86 = 139,744.67 : x
  2. Step 2: Convert to fraction form
    459,590.18/689,384.86 = 139,744.67/x
  3. Step 3: Cross multiply
    459,590.18x = 689,384.86 × 139,744.67
  4. Step 4: Simplify right side
    459,590.18x = 96,337,855,967.41
  5. Step 5: Solve for x
    x = 96,337,855,967.41/459,590.18
  6. Step 6: Final answer
    x = 209,616.87

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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.