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Finding the Fourth Proportional to 565,841.22, 780,864.06 and 307,721.17

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Solution

The fourth proportional to 565,841.22, 780,864.06 and 307,721.17 is: 424,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,841.22 : 780,864.06 = 307,721.17 : x
  2. Step 2: Convert to fraction form
    565,841.22/780,864.06 = 307,721.17/x
  3. Step 3: Cross multiply
    565,841.22x = 780,864.06 × 307,721.17
  4. Step 4: Simplify right side
    565,841.22x = 240,288,402,154.15
  5. Step 5: Solve for x
    x = 240,288,402,154.15/565,841.22
  6. Step 6: Final answer
    x = 424,656.94

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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.