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Finding the Fourth Proportional to 506,570.36, 698,998.61 and 288,807.12

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Solution

The fourth proportional to 506,570.36, 698,998.61 and 288,807.12 is: 398,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,570.36 : 698,998.61 = 288,807.12 : x
  2. Step 2: Convert to fraction form
    506,570.36/698,998.61 = 288,807.12/x
  3. Step 3: Cross multiply
    506,570.36x = 698,998.61 × 288,807.12
  4. Step 4: Simplify right side
    506,570.36x = 201,875,776,160.12
  5. Step 5: Solve for x
    x = 201,875,776,160.12/506,570.36
  6. Step 6: Final answer
    x = 398,514.79

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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.