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Finding the Fourth Proportional to 569,141.28, 785,430.81 and 314,508.87

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Solution

The fourth proportional to 569,141.28, 785,430.81 and 314,508.87 is: 434,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,141.28 : 785,430.81 = 314,508.87 : x
  2. Step 2: Convert to fraction form
    569,141.28/785,430.81 = 314,508.87/x
  3. Step 3: Cross multiply
    569,141.28x = 785,430.81 × 314,508.87
  4. Step 4: Simplify right side
    569,141.28x = 247,024,956,516.29
  5. Step 5: Solve for x
    x = 247,024,956,516.29/569,141.28
  6. Step 6: Final answer
    x = 434,031.00

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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.