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Finding the Fourth Proportional to 708,927.36, 978,280.86 and 402,961.20

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Solution

The fourth proportional to 708,927.36, 978,280.86 and 402,961.20 is: 556,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,927.36 : 978,280.86 = 402,961.20 : x
  2. Step 2: Convert to fraction form
    708,927.36/978,280.86 = 402,961.20/x
  3. Step 3: Cross multiply
    708,927.36x = 978,280.86 × 402,961.20
  4. Step 4: Simplify right side
    708,927.36x = 394,209,229,282.63
  5. Step 5: Solve for x
    x = 394,209,229,282.63/708,927.36
  6. Step 6: Final answer
    x = 556,064.35

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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.