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Finding the Fourth Proportional to 774,215.84, 1,068,402 and 434,684

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Solution

The fourth proportional to 774,215.84, 1,068,402 and 434,684 is: 599,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,215.84 : 1,068,402 = 434,684 : x
  2. Step 2: Convert to fraction form
    774,215.84/1,068,402 = 434,684/x
  3. Step 3: Cross multiply
    774,215.84x = 1,068,402 × 434,684
  4. Step 4: Simplify right side
    774,215.84x = 464,417,254,968
  5. Step 5: Solve for x
    x = 464,417,254,968/774,215.84
  6. Step 6: Final answer
    x = 599,855.02

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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.