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Finding the Fourth Proportional to 566,004.51, 781,084.62 and 311,354.01

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Solution

The fourth proportional to 566,004.51, 781,084.62 and 311,354.01 is: 429,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,004.51 : 781,084.62 = 311,354.01 : x
  2. Step 2: Convert to fraction form
    566,004.51/781,084.62 = 311,354.01/x
  3. Step 3: Cross multiply
    566,004.51x = 781,084.62 × 311,354.01
  4. Step 4: Simplify right side
    566,004.51x = 243,193,828,586.33
  5. Step 5: Solve for x
    x = 243,193,828,586.33/566,004.51
  6. Step 6: Final answer
    x = 429,667.65

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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.