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Finding the Fourth Proportional to 827,807.30, 1,242,002.55 and 406,801.70

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Solution

The fourth proportional to 827,807.30, 1,242,002.55 and 406,801.70 is: 610,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,807.30 : 1,242,002.55 = 406,801.70 : x
  2. Step 2: Convert to fraction form
    827,807.30/1,242,002.55 = 406,801.70/x
  3. Step 3: Cross multiply
    827,807.30x = 1,242,002.55 × 406,801.70
  4. Step 4: Simplify right side
    827,807.30x = 505,248,748,744.34
  5. Step 5: Solve for x
    x = 505,248,748,744.34/827,807.30
  6. Step 6: Final answer
    x = 610,345.85

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1.5x scale

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.