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Finding the Fourth Proportional to 282,478.80, 390,073.88 and 210,734.24

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Solution

The fourth proportional to 282,478.80, 390,073.88 and 210,734.24 is: 291,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,478.80 : 390,073.88 = 210,734.24 : x
  2. Step 2: Convert to fraction form
    282,478.80/390,073.88 = 210,734.24/x
  3. Step 3: Cross multiply
    282,478.80x = 390,073.88 × 210,734.24
  4. Step 4: Simplify right side
    282,478.80x = 82,201,922,645.65
  5. Step 5: Solve for x
    x = 82,201,922,645.65/282,478.80
  6. Step 6: Final answer
    x = 291,002.10

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1.5x scale

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.