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Finding the Fourth Proportional to 500,295.78, 689,941.71 and 463,141.08

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Solution

The fourth proportional to 500,295.78, 689,941.71 and 463,141.08 is: 638,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,295.78 : 689,941.71 = 463,141.08 : x
  2. Step 2: Convert to fraction form
    500,295.78/689,941.71 = 463,141.08/x
  3. Step 3: Cross multiply
    500,295.78x = 689,941.71 × 463,141.08
  4. Step 4: Simplify right side
    500,295.78x = 319,540,348,706.45
  5. Step 5: Solve for x
    x = 319,540,348,706.45/500,295.78
  6. Step 6: Final answer
    x = 638,702.87

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1.5x scale

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.