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Finding the Fourth Proportional to 583,377, 805,060.74 and 315,105

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Solution

The fourth proportional to 583,377, 805,060.74 and 315,105 is: 434,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,377 : 805,060.74 = 315,105 : x
  2. Step 2: Convert to fraction form
    583,377/805,060.74 = 315,105/x
  3. Step 3: Cross multiply
    583,377x = 805,060.74 × 315,105
  4. Step 4: Simplify right side
    583,377x = 253,678,664,477.70
  5. Step 5: Solve for x
    x = 253,678,664,477.70/583,377
  6. Step 6: Final answer
    x = 434,845.16

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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.