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Finding the Fourth Proportional to 506,458.06, 759,687.08 and 206,938.35

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Solution

The fourth proportional to 506,458.06, 759,687.08 and 206,938.35 is: 310,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,458.06 : 759,687.08 = 206,938.35 : x
  2. Step 2: Convert to fraction form
    506,458.06/759,687.08 = 206,938.35/x
  3. Step 3: Cross multiply
    506,458.06x = 759,687.08 × 206,938.35
  4. Step 4: Simplify right side
    506,458.06x = 157,208,389,816.83
  5. Step 5: Solve for x
    x = 157,208,389,816.83/506,458.06
  6. Step 6: Final answer
    x = 310,407.52

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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.