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Finding the Fourth Proportional to 287,984.50, 397,417.47 and 160,659.94

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Solution

The fourth proportional to 287,984.50, 397,417.47 and 160,659.94 is: 221,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,984.50 : 397,417.47 = 160,659.94 : x
  2. Step 2: Convert to fraction form
    287,984.50/397,417.47 = 160,659.94/x
  3. Step 3: Cross multiply
    287,984.50x = 397,417.47 × 160,659.94
  4. Step 4: Simplify right side
    287,984.50x = 63,849,066,885.15
  5. Step 5: Solve for x
    x = 63,849,066,885.15/287,984.50
  6. Step 6: Final answer
    x = 221,710.08

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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.