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Finding the Fourth Proportional to 506,730.88, 699,288.59 and 277,288.20

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Solution

The fourth proportional to 506,730.88, 699,288.59 and 277,288.20 is: 382,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,730.88 : 699,288.59 = 277,288.20 : x
  2. Step 2: Convert to fraction form
    506,730.88/699,288.59 = 277,288.20/x
  3. Step 3: Cross multiply
    506,730.88x = 699,288.59 × 277,288.20
  4. Step 4: Simplify right side
    506,730.88x = 193,904,471,779.31
  5. Step 5: Solve for x
    x = 193,904,471,779.31/506,730.88
  6. Step 6: Final answer
    x = 382,657.69

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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.