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Finding the Fourth Proportional to 650,714.40, 975,925.80 and 427,640.40

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Solution

The fourth proportional to 650,714.40, 975,925.80 and 427,640.40 is: 641,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,714.40 : 975,925.80 = 427,640.40 : x
  2. Step 2: Convert to fraction form
    650,714.40/975,925.80 = 427,640.40/x
  3. Step 3: Cross multiply
    650,714.40x = 975,925.80 × 427,640.40
  4. Step 4: Simplify right side
    650,714.40x = 417,345,299,482.32
  5. Step 5: Solve for x
    x = 417,345,299,482.32/650,714.40
  6. Step 6: Final answer
    x = 641,364.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.