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Finding the Fourth Proportional to 876,392, 1,209,420.96 and 473,984

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Solution

The fourth proportional to 876,392, 1,209,420.96 and 473,984 is: 654,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,392 : 1,209,420.96 = 473,984 : x
  2. Step 2: Convert to fraction form
    876,392/1,209,420.96 = 473,984/x
  3. Step 3: Cross multiply
    876,392x = 1,209,420.96 × 473,984
  4. Step 4: Simplify right side
    876,392x = 573,246,184,304.64
  5. Step 5: Solve for x
    x = 573,246,184,304.64/876,392
  6. Step 6: Final answer
    x = 654,097.92

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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.