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Finding the Fourth Proportional to 528,050.10, 728,707.68 and 286,331.93

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Solution

The fourth proportional to 528,050.10, 728,707.68 and 286,331.93 is: 395,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,050.10 : 728,707.68 = 286,331.93 : x
  2. Step 2: Convert to fraction form
    528,050.10/728,707.68 = 286,331.93/x
  3. Step 3: Cross multiply
    528,050.10x = 728,707.68 × 286,331.93
  4. Step 4: Simplify right side
    528,050.10x = 208,652,276,420.22
  5. Step 5: Solve for x
    x = 208,652,276,420.22/528,050.10
  6. Step 6: Final answer
    x = 395,137.27

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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.