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Finding the Fourth Proportional to 708,826.64, 978,205.24 and 402,915.76

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Solution

The fourth proportional to 708,826.64, 978,205.24 and 402,915.76 is: 556,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,826.64 : 978,205.24 = 402,915.76 : x
  2. Step 2: Convert to fraction form
    708,826.64/978,205.24 = 402,915.76/x
  3. Step 3: Cross multiply
    708,826.64x = 978,205.24 × 402,915.76
  4. Step 4: Simplify right side
    708,826.64x = 394,134,307,710.58
  5. Step 5: Solve for x
    x = 394,134,307,710.58/708,826.64
  6. Step 6: Final answer
    x = 556,037.66

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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.