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Finding the Fourth Proportional to 564,048.50, 778,386.93 and 309,400.30

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Solution

The fourth proportional to 564,048.50, 778,386.93 and 309,400.30 is: 426,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,048.50 : 778,386.93 = 309,400.30 : x
  2. Step 2: Convert to fraction form
    564,048.50/778,386.93 = 309,400.30/x
  3. Step 3: Cross multiply
    564,048.50x = 778,386.93 × 309,400.30
  4. Step 4: Simplify right side
    564,048.50x = 240,833,149,658.08
  5. Step 5: Solve for x
    x = 240,833,149,658.08/564,048.50
  6. Step 6: Final answer
    x = 426,972.41

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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.