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Finding the Fourth Proportional to 456,822.65, 684,848.63 and 287,970.83

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Solution

The fourth proportional to 456,822.65, 684,848.63 and 287,970.83 is: 431,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,822.65 : 684,848.63 = 287,970.83 : x
  2. Step 2: Convert to fraction form
    456,822.65/684,848.63 = 287,970.83/x
  3. Step 3: Cross multiply
    456,822.65x = 684,848.63 × 287,970.83
  4. Step 4: Simplify right side
    456,822.65x = 197,216,426,965.61
  5. Step 5: Solve for x
    x = 197,216,426,965.61/456,822.65
  6. Step 6: Final answer
    x = 431,713.33

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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.