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Finding the Fourth Proportional to 501,238.24, 691,702.32 and 286,376.64

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Solution

The fourth proportional to 501,238.24, 691,702.32 and 286,376.64 is: 395,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,238.24 : 691,702.32 = 286,376.64 : x
  2. Step 2: Convert to fraction form
    501,238.24/691,702.32 = 286,376.64/x
  3. Step 3: Cross multiply
    501,238.24x = 691,702.32 × 286,376.64
  4. Step 4: Simplify right side
    501,238.24x = 198,087,386,281.81
  5. Step 5: Solve for x
    x = 198,087,386,281.81/501,238.24
  6. Step 6: Final answer
    x = 395,196.08

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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.