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Finding the Fourth Proportional to 487,421.49, 730,633.74 and 187,784.67

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Solution

The fourth proportional to 487,421.49, 730,633.74 and 187,784.67 is: 281,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,421.49 : 730,633.74 = 187,784.67 : x
  2. Step 2: Convert to fraction form
    487,421.49/730,633.74 = 187,784.67/x
  3. Step 3: Cross multiply
    487,421.49x = 730,633.74 × 187,784.67
  4. Step 4: Simplify right side
    487,421.49x = 137,201,815,756.77
  5. Step 5: Solve for x
    x = 137,201,815,756.77/487,421.49
  6. Step 6: Final answer
    x = 281,484.95

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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.