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Finding the Fourth Proportional to 712,337, 982,981.68 and 390,050.96

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Solution

The fourth proportional to 712,337, 982,981.68 and 390,050.96 is: 538,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,337 : 982,981.68 = 390,050.96 : x
  2. Step 2: Convert to fraction form
    712,337/982,981.68 = 390,050.96/x
  3. Step 3: Cross multiply
    712,337x = 982,981.68 × 390,050.96
  4. Step 4: Simplify right side
    712,337x = 383,412,947,946.41
  5. Step 5: Solve for x
    x = 383,412,947,946.41/712,337
  6. Step 6: Final answer
    x = 538,246.57

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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.