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Finding the Fourth Proportional to 827,562.24, 1,142,036.64 and 469,866.24

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Solution

The fourth proportional to 827,562.24, 1,142,036.64 and 469,866.24 is: 648,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,562.24 : 1,142,036.64 = 469,866.24 : x
  2. Step 2: Convert to fraction form
    827,562.24/1,142,036.64 = 469,866.24/x
  3. Step 3: Cross multiply
    827,562.24x = 1,142,036.64 × 469,866.24
  4. Step 4: Simplify right side
    827,562.24x = 536,604,461,979.03
  5. Step 5: Solve for x
    x = 536,604,461,979.03/827,562.24
  6. Step 6: Final answer
    x = 648,415.84

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1.5x scale

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.