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Finding the Fourth Proportional to 528,054.10, 728,713.20 and 286,335.93

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Solution

The fourth proportional to 528,054.10, 728,713.20 and 286,335.93 is: 395,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,054.10 : 728,713.20 = 286,335.93 : x
  2. Step 2: Convert to fraction form
    528,054.10/728,713.20 = 286,335.93/x
  3. Step 3: Cross multiply
    528,054.10x = 728,713.20 × 286,335.93
  4. Step 4: Simplify right side
    528,054.10x = 208,656,771,825.28
  5. Step 5: Solve for x
    x = 208,656,771,825.28/528,054.10
  6. Step 6: Final answer
    x = 395,142.79

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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.