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Finding the Fourth Proportional to 566,320.13, 781,345.86 and 321,264.48

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Solution

The fourth proportional to 566,320.13, 781,345.86 and 321,264.48 is: 443,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,320.13 : 781,345.86 = 321,264.48 : x
  2. Step 2: Convert to fraction form
    566,320.13/781,345.86 = 321,264.48/x
  3. Step 3: Cross multiply
    566,320.13x = 781,345.86 × 321,264.48
  4. Step 4: Simplify right side
    566,320.13x = 251,018,671,413.05
  5. Step 5: Solve for x
    x = 251,018,671,413.05/566,320.13
  6. Step 6: Final answer
    x = 443,245.19

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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.