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Finding the Fourth Proportional to 385,782.95, 532,384.72 and 213,703.55

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Solution

The fourth proportional to 385,782.95, 532,384.72 and 213,703.55 is: 294,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,782.95 : 532,384.72 = 213,703.55 : x
  2. Step 2: Convert to fraction form
    385,782.95/532,384.72 = 213,703.55/x
  3. Step 3: Cross multiply
    385,782.95x = 532,384.72 × 213,703.55
  4. Step 4: Simplify right side
    385,782.95x = 113,772,501,967.83
  5. Step 5: Solve for x
    x = 113,772,501,967.83/385,782.95
  6. Step 6: Final answer
    x = 294,913.25

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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.