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Finding the Fourth Proportional to 417,822.32, 576,023.53 and 286,995.98

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Solution

The fourth proportional to 417,822.32, 576,023.53 and 286,995.98 is: 395,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,822.32 : 576,023.53 = 286,995.98 : x
  2. Step 2: Convert to fraction form
    417,822.32/576,023.53 = 286,995.98/x
  3. Step 3: Cross multiply
    417,822.32x = 576,023.53 × 286,995.98
  4. Step 4: Simplify right side
    417,822.32x = 165,316,437,495.41
  5. Step 5: Solve for x
    x = 165,316,437,495.41/417,822.32
  6. Step 6: Final answer
    x = 395,662.05

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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.