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Finding the Fourth Proportional to 516,756.24, 713,120.76 and 290,401.74

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Solution

The fourth proportional to 516,756.24, 713,120.76 and 290,401.74 is: 400,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,756.24 : 713,120.76 = 290,401.74 : x
  2. Step 2: Convert to fraction form
    516,756.24/713,120.76 = 290,401.74/x
  3. Step 3: Cross multiply
    516,756.24x = 713,120.76 × 290,401.74
  4. Step 4: Simplify right side
    516,756.24x = 207,091,509,534.12
  5. Step 5: Solve for x
    x = 207,091,509,534.12/516,756.24
  6. Step 6: Final answer
    x = 400,752.80

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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.