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Finding the Fourth Proportional to 760,830.80, 1,049,978.16 and 421,299.05

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Solution

The fourth proportional to 760,830.80, 1,049,978.16 and 421,299.05 is: 581,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,830.80 : 1,049,978.16 = 421,299.05 : x
  2. Step 2: Convert to fraction form
    760,830.80/1,049,978.16 = 421,299.05/x
  3. Step 3: Cross multiply
    760,830.80x = 1,049,978.16 × 421,299.05
  4. Step 4: Simplify right side
    760,830.80x = 442,354,796,078.86
  5. Step 5: Solve for x
    x = 442,354,796,078.86/760,830.80
  6. Step 6: Final answer
    x = 581,410.21

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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.