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Finding the Fourth Proportional to 315,628.71, 473,444.34 and 78,970.74

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Solution

The fourth proportional to 315,628.71, 473,444.34 and 78,970.74 is: 118,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,628.71 : 473,444.34 = 78,970.74 : x
  2. Step 2: Convert to fraction form
    315,628.71/473,444.34 = 78,970.74/x
  3. Step 3: Cross multiply
    315,628.71x = 473,444.34 × 78,970.74
  4. Step 4: Simplify right side
    315,628.71x = 37,388,249,878.61
  5. Step 5: Solve for x
    x = 37,388,249,878.61/315,628.71
  6. Step 6: Final answer
    x = 118,456.43

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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.