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Finding the Fourth Proportional to 564,206.47, 778,590.86 and 315,844.94

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Solution

The fourth proportional to 564,206.47, 778,590.86 and 315,844.94 is: 435,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,206.47 : 778,590.86 = 315,844.94 : x
  2. Step 2: Convert to fraction form
    564,206.47/778,590.86 = 315,844.94/x
  3. Step 3: Cross multiply
    564,206.47x = 778,590.86 × 315,844.94
  4. Step 4: Simplify right side
    564,206.47x = 245,913,986,197.34
  5. Step 5: Solve for x
    x = 245,913,986,197.34/564,206.47
  6. Step 6: Final answer
    x = 435,858.15

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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.