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Finding the Fourth Proportional to 287,894.32, 397,294.86 and 160,578.16

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Solution

The fourth proportional to 287,894.32, 397,294.86 and 160,578.16 is: 221,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.32 : 397,294.86 = 160,578.16 : x
  2. Step 2: Convert to fraction form
    287,894.32/397,294.86 = 160,578.16/x
  3. Step 3: Cross multiply
    287,894.32x = 397,294.86 × 160,578.16
  4. Step 4: Simplify right side
    287,894.32x = 63,796,877,596.26
  5. Step 5: Solve for x
    x = 63,796,877,596.26/287,894.32
  6. Step 6: Final answer
    x = 221,598.25

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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.