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Finding the Fourth Proportional to 290,547.52, 400,953.16 and 163,220.38

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Solution

The fourth proportional to 290,547.52, 400,953.16 and 163,220.38 is: 225,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,547.52 : 400,953.16 = 163,220.38 : x
  2. Step 2: Convert to fraction form
    290,547.52/400,953.16 = 163,220.38/x
  3. Step 3: Cross multiply
    290,547.52x = 400,953.16 × 163,220.38
  4. Step 4: Simplify right side
    290,547.52x = 65,443,727,137.40
  5. Step 5: Solve for x
    x = 65,443,727,137.40/290,547.52
  6. Step 6: Final answer
    x = 225,242.77

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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.