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Finding the Fourth Proportional to 310,681.86, 466,102.98 and 142,121.67

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Solution

The fourth proportional to 310,681.86, 466,102.98 and 142,121.67 is: 213,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,681.86 : 466,102.98 = 142,121.67 : x
  2. Step 2: Convert to fraction form
    310,681.86/466,102.98 = 142,121.67/x
  3. Step 3: Cross multiply
    310,681.86x = 466,102.98 × 142,121.67
  4. Step 4: Simplify right side
    310,681.86x = 66,243,333,909.58
  5. Step 5: Solve for x
    x = 66,243,333,909.58/310,681.86
  6. Step 6: Final answer
    x = 213,219.19

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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.