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Finding the Fourth Proportional to 522,423, 721,011.78 and 307,582.92

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Solution

The fourth proportional to 522,423, 721,011.78 and 307,582.92 is: 424,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,423 : 721,011.78 = 307,582.92 : x
  2. Step 2: Convert to fraction form
    522,423/721,011.78 = 307,582.92/x
  3. Step 3: Cross multiply
    522,423x = 721,011.78 × 307,582.92
  4. Step 4: Simplify right side
    522,423x = 221,770,908,646.80
  5. Step 5: Solve for x
    x = 221,770,908,646.80/522,423
  6. Step 6: Final answer
    x = 424,504.49

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1.5x scale

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.