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Finding the Fourth Proportional to 315,491.81, 473,238.95 and 78,834.74

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Solution

The fourth proportional to 315,491.81, 473,238.95 and 78,834.74 is: 118,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,491.81 : 473,238.95 = 78,834.74 : x
  2. Step 2: Convert to fraction form
    315,491.81/473,238.95 = 78,834.74/x
  3. Step 3: Cross multiply
    315,491.81x = 473,238.95 × 78,834.74
  4. Step 4: Simplify right side
    315,491.81x = 37,307,666,820.75
  5. Step 5: Solve for x
    x = 37,307,666,820.75/315,491.81
  6. Step 6: Final answer
    x = 118,252.41

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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.