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Finding the Fourth Proportional to 565,508.12, 780,406.74 and 307,384.91

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Solution

The fourth proportional to 565,508.12, 780,406.74 and 307,384.91 is: 424,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,508.12 : 780,406.74 = 307,384.91 : x
  2. Step 2: Convert to fraction form
    565,508.12/780,406.74 = 307,384.91/x
  3. Step 3: Cross multiply
    565,508.12x = 780,406.74 × 307,384.91
  4. Step 4: Simplify right side
    565,508.12x = 239,885,252,788.95
  5. Step 5: Solve for x
    x = 239,885,252,788.95/565,508.12
  6. Step 6: Final answer
    x = 424,194.18

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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.