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Finding the Fourth Proportional to 306,588.78, 459,304.47 and 156,923.91

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Solution

The fourth proportional to 306,588.78, 459,304.47 and 156,923.91 is: 235,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,588.78 : 459,304.47 = 156,923.91 : x
  2. Step 2: Convert to fraction form
    306,588.78/459,304.47 = 156,923.91/x
  3. Step 3: Cross multiply
    306,588.78x = 459,304.47 × 156,923.91
  4. Step 4: Simplify right side
    306,588.78x = 72,075,853,312.88
  5. Step 5: Solve for x
    x = 72,075,853,312.88/306,588.78
  6. Step 6: Final answer
    x = 235,089.66

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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.