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Finding the Fourth Proportional to 566,410.02, 781,666.65 and 311,771.94

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Solution

The fourth proportional to 566,410.02, 781,666.65 and 311,771.94 is: 430,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,410.02 : 781,666.65 = 311,771.94 : x
  2. Step 2: Convert to fraction form
    566,410.02/781,666.65 = 311,771.94/x
  3. Step 3: Cross multiply
    566,410.02x = 781,666.65 × 311,771.94
  4. Step 4: Simplify right side
    566,410.02x = 243,701,727,903.80
  5. Step 5: Solve for x
    x = 243,701,727,903.80/566,410.02
  6. Step 6: Final answer
    x = 430,256.74

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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.