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Finding the Fourth Proportional to 564,047, 778,384.86 and 309,398.80

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Solution

The fourth proportional to 564,047, 778,384.86 and 309,398.80 is: 426,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,047 : 778,384.86 = 309,398.80 : x
  2. Step 2: Convert to fraction form
    564,047/778,384.86 = 309,398.80/x
  3. Step 3: Cross multiply
    564,047x = 778,384.86 × 309,398.80
  4. Step 4: Simplify right side
    564,047x = 240,831,337,730.24
  5. Step 5: Solve for x
    x = 240,831,337,730.24/564,047
  6. Step 6: Final answer
    x = 426,970.34

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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.