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Finding the Fourth Proportional to 285,009.76, 393,302.64 and 157,690.72

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Solution

The fourth proportional to 285,009.76, 393,302.64 and 157,690.72 is: 217,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,009.76 : 393,302.64 = 157,690.72 : x
  2. Step 2: Convert to fraction form
    285,009.76/393,302.64 = 157,690.72/x
  3. Step 3: Cross multiply
    285,009.76x = 393,302.64 × 157,690.72
  4. Step 4: Simplify right side
    285,009.76x = 62,020,176,479.50
  5. Step 5: Solve for x
    x = 62,020,176,479.50/285,009.76
  6. Step 6: Final answer
    x = 217,607.20

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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.