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Finding the Fourth Proportional to 553,612.94, 763,985.86 and 298,964.13

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Solution

The fourth proportional to 553,612.94, 763,985.86 and 298,964.13 is: 412,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,612.94 : 763,985.86 = 298,964.13 : x
  2. Step 2: Convert to fraction form
    553,612.94/763,985.86 = 298,964.13/x
  3. Step 3: Cross multiply
    553,612.94x = 763,985.86 × 298,964.13
  4. Step 4: Simplify right side
    553,612.94x = 228,404,366,430.94
  5. Step 5: Solve for x
    x = 228,404,366,430.94/553,612.94
  6. Step 6: Final answer
    x = 412,570.50

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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.