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Finding the Fourth Proportional to 282,965, 390,547.17 and 162,187.25

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Solution

The fourth proportional to 282,965, 390,547.17 and 162,187.25 is: 223,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,965 : 390,547.17 = 162,187.25 : x
  2. Step 2: Convert to fraction form
    282,965/390,547.17 = 162,187.25/x
  3. Step 3: Cross multiply
    282,965x = 390,547.17 × 162,187.25
  4. Step 4: Simplify right side
    282,965x = 63,341,771,497.58
  5. Step 5: Solve for x
    x = 63,341,771,497.58/282,965
  6. Step 6: Final answer
    x = 223,850.20

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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.