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Finding the Fourth Proportional to 788,167, 1,087,670.46 and 430,471

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Solution

The fourth proportional to 788,167, 1,087,670.46 and 430,471 is: 594,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,167 : 1,087,670.46 = 430,471 : x
  2. Step 2: Convert to fraction form
    788,167/1,087,670.46 = 430,471/x
  3. Step 3: Cross multiply
    788,167x = 1,087,670.46 × 430,471
  4. Step 4: Simplify right side
    788,167x = 468,210,590,586.66
  5. Step 5: Solve for x
    x = 468,210,590,586.66/788,167
  6. Step 6: Final answer
    x = 594,049.98

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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.