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Finding the Fourth Proportional to 513,667.40, 708,798.88 and 295,947.30

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Solution

The fourth proportional to 513,667.40, 708,798.88 and 295,947.30 is: 408,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,667.40 : 708,798.88 = 295,947.30 : x
  2. Step 2: Convert to fraction form
    513,667.40/708,798.88 = 295,947.30/x
  3. Step 3: Cross multiply
    513,667.40x = 708,798.88 × 295,947.30
  4. Step 4: Simplify right side
    513,667.40x = 209,767,114,779.02
  5. Step 5: Solve for x
    x = 209,767,114,779.02/513,667.40
  6. Step 6: Final answer
    x = 408,371.48

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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.