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Finding the Fourth Proportional to 708,903.52, 978,248 and 402,937.46

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Solution

The fourth proportional to 708,903.52, 978,248 and 402,937.46 is: 556,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,903.52 : 978,248 = 402,937.46 : x
  2. Step 2: Convert to fraction form
    708,903.52/978,248 = 402,937.46/x
  3. Step 3: Cross multiply
    708,903.52x = 978,248 × 402,937.46
  4. Step 4: Simplify right side
    708,903.52x = 394,172,764,370.08
  5. Step 5: Solve for x
    x = 394,172,764,370.08/708,903.52
  6. Step 6: Final answer
    x = 556,031.61

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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.