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Finding the Fourth Proportional to 657,002.56, 906,808.64 and 427,159.84

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Solution

The fourth proportional to 657,002.56, 906,808.64 and 427,159.84 is: 589,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,002.56 : 906,808.64 = 427,159.84 : x
  2. Step 2: Convert to fraction form
    657,002.56/906,808.64 = 427,159.84/x
  3. Step 3: Cross multiply
    657,002.56x = 906,808.64 × 427,159.84
  4. Step 4: Simplify right side
    657,002.56x = 387,352,233,573.02
  5. Step 5: Solve for x
    x = 387,352,233,573.02/657,002.56
  6. Step 6: Final answer
    x = 589,574.92

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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.