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Finding the Fourth Proportional to 710,305.32, 980,251.14 and 408,499.56

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Solution

The fourth proportional to 710,305.32, 980,251.14 and 408,499.56 is: 563,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,305.32 : 980,251.14 = 408,499.56 : x
  2. Step 2: Convert to fraction form
    710,305.32/980,251.14 = 408,499.56/x
  3. Step 3: Cross multiply
    710,305.32x = 980,251.14 × 408,499.56
  4. Step 4: Simplify right side
    710,305.32x = 400,432,159,379.50
  5. Step 5: Solve for x
    x = 400,432,159,379.50/710,305.32
  6. Step 6: Final answer
    x = 563,746.53

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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.