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Finding the Fourth Proportional to 540,297.84, 745,547.58 and 298,566

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Solution

The fourth proportional to 540,297.84, 745,547.58 and 298,566 is: 411,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,297.84 : 745,547.58 = 298,566 : x
  2. Step 2: Convert to fraction form
    540,297.84/745,547.58 = 298,566/x
  3. Step 3: Cross multiply
    540,297.84x = 745,547.58 × 298,566
  4. Step 4: Simplify right side
    540,297.84x = 222,595,158,770.28
  5. Step 5: Solve for x
    x = 222,595,158,770.28/540,297.84
  6. Step 6: Final answer
    x = 411,986.02

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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.