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Finding the Fourth Proportional to 301,905, 416,603.64 and 165,931.92

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Solution

The fourth proportional to 301,905, 416,603.64 and 165,931.92 is: 228,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,905 : 416,603.64 = 165,931.92 : x
  2. Step 2: Convert to fraction form
    301,905/416,603.64 = 165,931.92/x
  3. Step 3: Cross multiply
    301,905x = 416,603.64 × 165,931.92
  4. Step 4: Simplify right side
    301,905x = 69,127,841,864.19
  5. Step 5: Solve for x
    x = 69,127,841,864.19/301,905
  6. Step 6: Final answer
    x = 228,972.17

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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.