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Finding the Fourth Proportional to 780,786, 1,077,484.68 and 423,090

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Solution

The fourth proportional to 780,786, 1,077,484.68 and 423,090 is: 583,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,786 : 1,077,484.68 = 423,090 : x
  2. Step 2: Convert to fraction form
    780,786/1,077,484.68 = 423,090/x
  3. Step 3: Cross multiply
    780,786x = 1,077,484.68 × 423,090
  4. Step 4: Simplify right side
    780,786x = 455,872,993,261.20
  5. Step 5: Solve for x
    x = 455,872,993,261.20/780,786
  6. Step 6: Final answer
    x = 583,864.20

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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.