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Finding the Fourth Proportional to 277,075.61, 382,356.70 and 156,215.85

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Solution

The fourth proportional to 277,075.61, 382,356.70 and 156,215.85 is: 215,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,075.61 : 382,356.70 = 156,215.85 : x
  2. Step 2: Convert to fraction form
    277,075.61/382,356.70 = 156,215.85/x
  3. Step 3: Cross multiply
    277,075.61x = 382,356.70 × 156,215.85
  4. Step 4: Simplify right side
    277,075.61x = 59,730,175,948.03
  5. Step 5: Solve for x
    x = 59,730,175,948.03/277,075.61
  6. Step 6: Final answer
    x = 215,573.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.