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Finding the Fourth Proportional to 340,518.16, 510,169.80 and 207,329.68

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Solution

The fourth proportional to 340,518.16, 510,169.80 and 207,329.68 is: 310,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,518.16 : 510,169.80 = 207,329.68 : x
  2. Step 2: Convert to fraction form
    340,518.16/510,169.80 = 207,329.68/x
  3. Step 3: Cross multiply
    340,518.16x = 510,169.80 × 207,329.68
  4. Step 4: Simplify right side
    340,518.16x = 105,773,341,379.66
  5. Step 5: Solve for x
    x = 105,773,341,379.66/340,518.16
  6. Step 6: Final answer
    x = 310,624.67

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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.