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Finding the Fourth Proportional to 421,655.14, 581,897.86 and 230,668.53

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Solution

The fourth proportional to 421,655.14, 581,897.86 and 230,668.53 is: 318,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,655.14 : 581,897.86 = 230,668.53 : x
  2. Step 2: Convert to fraction form
    421,655.14/581,897.86 = 230,668.53/x
  3. Step 3: Cross multiply
    421,655.14x = 581,897.86 × 230,668.53
  4. Step 4: Simplify right side
    421,655.14x = 134,225,523,399.67
  5. Step 5: Solve for x
    x = 134,225,523,399.67/421,655.14
  6. Step 6: Final answer
    x = 318,330.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.