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Finding the Fourth Proportional to 510,928.86, 705,009.51 and 290,158.50

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Solution

The fourth proportional to 510,928.86, 705,009.51 and 290,158.50 is: 400,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,928.86 : 705,009.51 = 290,158.50 : x
  2. Step 2: Convert to fraction form
    510,928.86/705,009.51 = 290,158.50/x
  3. Step 3: Cross multiply
    510,928.86x = 705,009.51 × 290,158.50
  4. Step 4: Simplify right side
    510,928.86x = 204,564,501,907.34
  5. Step 5: Solve for x
    x = 204,564,501,907.34/510,928.86
  6. Step 6: Final answer
    x = 400,377.66

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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.