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Finding the Fourth Proportional to 565,943.04, 781,022.16 and 311,313.60

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Solution

The fourth proportional to 565,943.04, 781,022.16 and 311,313.60 is: 429,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,943.04 : 781,022.16 = 311,313.60 : x
  2. Step 2: Convert to fraction form
    565,943.04/781,022.16 = 311,313.60/x
  3. Step 3: Cross multiply
    565,943.04x = 781,022.16 × 311,313.60
  4. Step 4: Simplify right side
    565,943.04x = 243,142,820,309.38
  5. Step 5: Solve for x
    x = 243,142,820,309.38/565,943.04
  6. Step 6: Final answer
    x = 429,624.19

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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.