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Finding the Fourth Proportional to 786,358, 1,179,537.18 and 195,382

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Solution

The fourth proportional to 786,358, 1,179,537.18 and 195,382 is: 293,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,358 : 1,179,537.18 = 195,382 : x
  2. Step 2: Convert to fraction form
    786,358/1,179,537.18 = 195,382/x
  3. Step 3: Cross multiply
    786,358x = 1,179,537.18 × 195,382
  4. Step 4: Simplify right side
    786,358x = 230,460,333,302.76
  5. Step 5: Solve for x
    x = 230,460,333,302.76/786,358
  6. Step 6: Final answer
    x = 293,073.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.