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Finding the Fourth Proportional to 708,702.08, 978,091.88 and 402,824.43

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Solution

The fourth proportional to 708,702.08, 978,091.88 and 402,824.43 is: 555,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,702.08 : 978,091.88 = 402,824.43 : x
  2. Step 2: Convert to fraction form
    708,702.08/978,091.88 = 402,824.43/x
  3. Step 3: Cross multiply
    708,702.08x = 978,091.88 × 402,824.43
  4. Step 4: Simplify right side
    708,702.08x = 393,999,302,034.51
  5. Step 5: Solve for x
    x = 393,999,302,034.51/708,702.08
  6. Step 6: Final answer
    x = 555,944.90

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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.