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Finding the Fourth Proportional to 314,989.98, 472,486.87 and 78,332.69

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Solution

The fourth proportional to 314,989.98, 472,486.87 and 78,332.69 is: 117,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,989.98 : 472,486.87 = 78,332.69 : x
  2. Step 2: Convert to fraction form
    314,989.98/472,486.87 = 78,332.69/x
  3. Step 3: Cross multiply
    314,989.98x = 472,486.87 × 78,332.69
  4. Step 4: Simplify right side
    314,989.98x = 37,011,166,138.17
  5. Step 5: Solve for x
    x = 37,011,166,138.17/314,989.98
  6. Step 6: Final answer
    x = 117,499.50

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1.5x scale

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.