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Finding the Fourth Proportional to 578,637.81, 867,640.32 and 459,460.32

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Solution

The fourth proportional to 578,637.81, 867,640.32 and 459,460.32 is: 688,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,637.81 : 867,640.32 = 459,460.32 : x
  2. Step 2: Convert to fraction form
    578,637.81/867,640.32 = 459,460.32/x
  3. Step 3: Cross multiply
    578,637.81x = 867,640.32 × 459,460.32
  4. Step 4: Simplify right side
    578,637.81x = 398,646,299,072.10
  5. Step 5: Solve for x
    x = 398,646,299,072.10/578,637.81
  6. Step 6: Final answer
    x = 688,939.25

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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.