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Finding the Fourth Proportional to 310,061.34, 427,931.44 and 189,272.93

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Solution

The fourth proportional to 310,061.34, 427,931.44 and 189,272.93 is: 261,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,061.34 : 427,931.44 = 189,272.93 : x
  2. Step 2: Convert to fraction form
    310,061.34/427,931.44 = 189,272.93/x
  3. Step 3: Cross multiply
    310,061.34x = 427,931.44 × 189,272.93
  4. Step 4: Simplify right side
    310,061.34x = 80,995,834,875.08
  5. Step 5: Solve for x
    x = 80,995,834,875.08/310,061.34
  6. Step 6: Final answer
    x = 261,225.20

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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.