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Finding the Fourth Proportional to 774,768.64, 1,069,208.22 and 430,611.40

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Solution

The fourth proportional to 774,768.64, 1,069,208.22 and 430,611.40 is: 594,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,768.64 : 1,069,208.22 = 430,611.40 : x
  2. Step 2: Convert to fraction form
    774,768.64/1,069,208.22 = 430,611.40/x
  3. Step 3: Cross multiply
    774,768.64x = 1,069,208.22 × 430,611.40
  4. Step 4: Simplify right side
    774,768.64x = 460,413,248,505.71
  5. Step 5: Solve for x
    x = 460,413,248,505.71/774,768.64
  6. Step 6: Final answer
    x = 594,259.01

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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.