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Finding the Fourth Proportional to 771,957.12, 1,065,341.88 and 427,830.70

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Solution

The fourth proportional to 771,957.12, 1,065,341.88 and 427,830.70 is: 590,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,957.12 : 1,065,341.88 = 427,830.70 : x
  2. Step 2: Convert to fraction form
    771,957.12/1,065,341.88 = 427,830.70/x
  3. Step 3: Cross multiply
    771,957.12x = 1,065,341.88 × 427,830.70
  4. Step 4: Simplify right side
    771,957.12x = 455,785,962,259.72
  5. Step 5: Solve for x
    x = 455,785,962,259.72/771,957.12
  6. Step 6: Final answer
    x = 590,429.12

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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.