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Finding the Fourth Proportional to 708,890.24, 978,230.05 and 402,924.16

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Solution

The fourth proportional to 708,890.24, 978,230.05 and 402,924.16 is: 556,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,890.24 : 978,230.05 = 402,924.16 : x
  2. Step 2: Convert to fraction form
    708,890.24/978,230.05 = 402,924.16/x
  3. Step 3: Cross multiply
    708,890.24x = 978,230.05 × 402,924.16
  4. Step 4: Simplify right side
    708,890.24x = 394,152,518,162.39
  5. Step 5: Solve for x
    x = 394,152,518,162.39/708,890.24
  6. Step 6: Final answer
    x = 556,013.47

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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.