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Finding the Fourth Proportional to 506,575.99, 699,006.40 and 288,812.76

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Solution

The fourth proportional to 506,575.99, 699,006.40 and 288,812.76 is: 398,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,575.99 : 699,006.40 = 288,812.76 : x
  2. Step 2: Convert to fraction form
    506,575.99/699,006.40 = 288,812.76/x
  3. Step 3: Cross multiply
    506,575.99x = 699,006.40 × 288,812.76
  4. Step 4: Simplify right side
    506,575.99x = 201,881,967,641.66
  5. Step 5: Solve for x
    x = 201,881,967,641.66/506,575.99
  6. Step 6: Final answer
    x = 398,522.57

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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.