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Finding the Fourth Proportional to 282,964, 390,545.79 and 162,186.25

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Solution

The fourth proportional to 282,964, 390,545.79 and 162,186.25 is: 223,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,964 : 390,545.79 = 162,186.25 : x
  2. Step 2: Convert to fraction form
    282,964/390,545.79 = 162,186.25/x
  3. Step 3: Cross multiply
    282,964x = 390,545.79 × 162,186.25
  4. Step 4: Simplify right side
    282,964x = 63,341,157,133.39
  5. Step 5: Solve for x
    x = 63,341,157,133.39/282,964
  6. Step 6: Final answer
    x = 223,848.82

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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.