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Finding the Fourth Proportional to 284,235.74, 426,295.96 and 104,259.91

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Solution

The fourth proportional to 284,235.74, 426,295.96 and 104,259.91 is: 156,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,235.74 : 426,295.96 = 104,259.91 : x
  2. Step 2: Convert to fraction form
    284,235.74/426,295.96 = 104,259.91/x
  3. Step 3: Cross multiply
    284,235.74x = 426,295.96 × 104,259.91
  4. Step 4: Simplify right side
    284,235.74x = 44,445,578,482.34
  5. Step 5: Solve for x
    x = 44,445,578,482.34/284,235.74
  6. Step 6: Final answer
    x = 156,368.72

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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.