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Finding the Fourth Proportional to 564,120.48, 778,506.53 and 309,479.16

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Solution

The fourth proportional to 564,120.48, 778,506.53 and 309,479.16 is: 427,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,120.48 : 778,506.53 = 309,479.16 : x
  2. Step 2: Convert to fraction form
    564,120.48/778,506.53 = 309,479.16/x
  3. Step 3: Cross multiply
    564,120.48x = 778,506.53 × 309,479.16
  4. Step 4: Simplify right side
    564,120.48x = 240,931,545,411.52
  5. Step 5: Solve for x
    x = 240,931,545,411.52/564,120.48
  6. Step 6: Final answer
    x = 427,092.36

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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.