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Finding the Fourth Proportional to 277,499.70, 416,228.13 and 77,809.50

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Solution

The fourth proportional to 277,499.70, 416,228.13 and 77,809.50 is: 116,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,499.70 : 416,228.13 = 77,809.50 : x
  2. Step 2: Convert to fraction form
    277,499.70/416,228.13 = 77,809.50/x
  3. Step 3: Cross multiply
    277,499.70x = 416,228.13 × 77,809.50
  4. Step 4: Simplify right side
    277,499.70x = 32,386,502,681.24
  5. Step 5: Solve for x
    x = 32,386,502,681.24/277,499.70
  6. Step 6: Final answer
    x = 116,708.24

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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.