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Finding the Fourth Proportional to 565,909.02, 780,946.68 and 307,780.35

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Solution

The fourth proportional to 565,909.02, 780,946.68 and 307,780.35 is: 424,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,909.02 : 780,946.68 = 307,780.35 : x
  2. Step 2: Convert to fraction form
    565,909.02/780,946.68 = 307,780.35/x
  3. Step 3: Cross multiply
    565,909.02x = 780,946.68 × 307,780.35
  4. Step 4: Simplify right side
    565,909.02x = 240,360,042,501.74
  5. Step 5: Solve for x
    x = 240,360,042,501.74/565,909.02
  6. Step 6: Final answer
    x = 424,732.66

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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.