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Finding the Fourth Proportional to 503,565.12, 695,038.08 and 288,701.28

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Solution

The fourth proportional to 503,565.12, 695,038.08 and 288,701.28 is: 398,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,565.12 : 695,038.08 = 288,701.28 : x
  2. Step 2: Convert to fraction form
    503,565.12/695,038.08 = 288,701.28/x
  3. Step 3: Cross multiply
    503,565.12x = 695,038.08 × 288,701.28
  4. Step 4: Simplify right side
    503,565.12x = 200,658,383,344.74
  5. Step 5: Solve for x
    x = 200,658,383,344.74/503,565.12
  6. Step 6: Final answer
    x = 398,475.54

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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.