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Finding the Fourth Proportional to 513,050.64, 708,008.76 and 286,696.16

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Solution

The fourth proportional to 513,050.64, 708,008.76 and 286,696.16 is: 395,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,050.64 : 708,008.76 = 286,696.16 : x
  2. Step 2: Convert to fraction form
    513,050.64/708,008.76 = 286,696.16/x
  3. Step 3: Cross multiply
    513,050.64x = 708,008.76 × 286,696.16
  4. Step 4: Simplify right side
    513,050.64x = 202,983,392,738.36
  5. Step 5: Solve for x
    x = 202,983,392,738.36/513,050.64
  6. Step 6: Final answer
    x = 395,640.07

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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.