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Finding the Fourth Proportional to 370,106.88, 510,754.32 and 217,254.48

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Solution

The fourth proportional to 370,106.88, 510,754.32 and 217,254.48 is: 299,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,106.88 : 510,754.32 = 217,254.48 : x
  2. Step 2: Convert to fraction form
    370,106.88/510,754.32 = 217,254.48/x
  3. Step 3: Cross multiply
    370,106.88x = 510,754.32 × 217,254.48
  4. Step 4: Simplify right side
    370,106.88x = 110,963,664,199.35
  5. Step 5: Solve for x
    x = 110,963,664,199.35/370,106.88
  6. Step 6: Final answer
    x = 299,815.19

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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.