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Finding the Fourth Proportional to 506,287.91, 698,652.77 and 288,547.56

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Solution

The fourth proportional to 506,287.91, 698,652.77 and 288,547.56 is: 398,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,287.91 : 698,652.77 = 288,547.56 : x
  2. Step 2: Convert to fraction form
    506,287.91/698,652.77 = 288,547.56/x
  3. Step 3: Cross multiply
    506,287.91x = 698,652.77 × 288,547.56
  4. Step 4: Simplify right side
    506,287.91x = 201,594,550,628.00
  5. Step 5: Solve for x
    x = 201,594,550,628.00/506,287.91
  6. Step 6: Final answer
    x = 398,181.64

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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.