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Finding the Fourth Proportional to 506,535.54, 699,036.32 and 288,776.42

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Solution

The fourth proportional to 506,535.54, 699,036.32 and 288,776.42 is: 398,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,535.54 : 699,036.32 = 288,776.42 : x
  2. Step 2: Convert to fraction form
    506,535.54/699,036.32 = 288,776.42/x
  3. Step 3: Cross multiply
    506,535.54x = 699,036.32 × 288,776.42
  4. Step 4: Simplify right side
    506,535.54x = 201,865,205,939.57
  5. Step 5: Solve for x
    x = 201,865,205,939.57/506,535.54
  6. Step 6: Final answer
    x = 398,521.31

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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.