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Finding the Fourth Proportional to 498,970.68, 688,384.08 and 307,651.92

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Solution

The fourth proportional to 498,970.68, 688,384.08 and 307,651.92 is: 424,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,970.68 : 688,384.08 = 307,651.92 : x
  2. Step 2: Convert to fraction form
    498,970.68/688,384.08 = 307,651.92/x
  3. Step 3: Cross multiply
    498,970.68x = 688,384.08 × 307,651.92
  4. Step 4: Simplify right side
    498,970.68x = 211,782,683,909.43
  5. Step 5: Solve for x
    x = 211,782,683,909.43/498,970.68
  6. Step 6: Final answer
    x = 424,439.14

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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.