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Finding the Fourth Proportional to 528,646.86, 729,533.46 and 286,929.52

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Solution

The fourth proportional to 528,646.86, 729,533.46 and 286,929.52 is: 395,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,646.86 : 729,533.46 = 286,929.52 : x
  2. Step 2: Convert to fraction form
    528,646.86/729,533.46 = 286,929.52/x
  3. Step 3: Cross multiply
    528,646.86x = 729,533.46 × 286,929.52
  4. Step 4: Simplify right side
    528,646.86x = 209,324,685,501.74
  5. Step 5: Solve for x
    x = 209,324,685,501.74/528,646.86
  6. Step 6: Final answer
    x = 395,963.17

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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.