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Finding the Fourth Proportional to 277,242.77, 415,802.85 and 77,509.46

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Solution

The fourth proportional to 277,242.77, 415,802.85 and 77,509.46 is: 116,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,242.77 : 415,802.85 = 77,509.46 : x
  2. Step 2: Convert to fraction form
    277,242.77/415,802.85 = 77,509.46/x
  3. Step 3: Cross multiply
    277,242.77x = 415,802.85 × 77,509.46
  4. Step 4: Simplify right side
    277,242.77x = 32,228,652,290.95
  5. Step 5: Solve for x
    x = 32,228,652,290.95/277,242.77
  6. Step 6: Final answer
    x = 116,247.05

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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.