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Finding the Fourth Proportional to 282,878.71, 390,373.43 and 153,817.22

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Solution

The fourth proportional to 282,878.71, 390,373.43 and 153,817.22 is: 212,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,878.71 : 390,373.43 = 153,817.22 : x
  2. Step 2: Convert to fraction form
    282,878.71/390,373.43 = 153,817.22/x
  3. Step 3: Cross multiply
    282,878.71x = 390,373.43 × 153,817.22
  4. Step 4: Simplify right side
    282,878.71x = 60,046,155,971.31
  5. Step 5: Solve for x
    x = 60,046,155,971.31/282,878.71
  6. Step 6: Final answer
    x = 212,268.21

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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.