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Finding the Fourth Proportional to 385,653.98, 532,139.21 and 242,312.54

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Solution

The fourth proportional to 385,653.98, 532,139.21 and 242,312.54 is: 334,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,653.98 : 532,139.21 = 242,312.54 : x
  2. Step 2: Convert to fraction form
    385,653.98/532,139.21 = 242,312.54/x
  3. Step 3: Cross multiply
    385,653.98x = 532,139.21 × 242,312.54
  4. Step 4: Simplify right side
    385,653.98x = 128,943,999,736.44
  5. Step 5: Solve for x
    x = 128,943,999,736.44/385,653.98
  6. Step 6: Final answer
    x = 334,351.53

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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.