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Finding the Fourth Proportional to 280,907.87, 421,274.32 and 93,875.63

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Solution

The fourth proportional to 280,907.87, 421,274.32 and 93,875.63 is: 140,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,907.87 : 421,274.32 = 93,875.63 : x
  2. Step 2: Convert to fraction form
    280,907.87/421,274.32 = 93,875.63/x
  3. Step 3: Cross multiply
    280,907.87x = 421,274.32 × 93,875.63
  4. Step 4: Simplify right side
    280,907.87x = 39,547,389,851.76
  5. Step 5: Solve for x
    x = 39,547,389,851.76/280,907.87
  6. Step 6: Final answer
    x = 140,784.20

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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.