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Finding the Fourth Proportional to 870,315.84, 1,305,537 and 364,368

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Solution

The fourth proportional to 870,315.84, 1,305,537 and 364,368 is: 546,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,315.84 : 1,305,537 = 364,368 : x
  2. Step 2: Convert to fraction form
    870,315.84/1,305,537 = 364,368/x
  3. Step 3: Cross multiply
    870,315.84x = 1,305,537 × 364,368
  4. Step 4: Simplify right side
    870,315.84x = 475,695,905,616
  5. Step 5: Solve for x
    x = 475,695,905,616/870,315.84
  6. Step 6: Final answer
    x = 546,578.48

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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.