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Finding the Fourth Proportional to 369,713.85, 510,210.07 and 208,568.40

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Solution

The fourth proportional to 369,713.85, 510,210.07 and 208,568.40 is: 287,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,713.85 : 510,210.07 = 208,568.40 : x
  2. Step 2: Convert to fraction form
    369,713.85/510,210.07 = 208,568.40/x
  3. Step 3: Cross multiply
    369,713.85x = 510,210.07 × 208,568.40
  4. Step 4: Simplify right side
    369,713.85x = 106,413,698,399.01
  5. Step 5: Solve for x
    x = 106,413,698,399.01/369,713.85
  6. Step 6: Final answer
    x = 287,827.19

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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.