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Finding the Fourth Proportional to 776,596.74, 1,164,419.40 and 302,728.50

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Solution

The fourth proportional to 776,596.74, 1,164,419.40 and 302,728.50 is: 453,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,596.74 : 1,164,419.40 = 302,728.50 : x
  2. Step 2: Convert to fraction form
    776,596.74/1,164,419.40 = 302,728.50/x
  3. Step 3: Cross multiply
    776,596.74x = 1,164,419.40 × 302,728.50
  4. Step 4: Simplify right side
    776,596.74x = 352,502,938,332.90
  5. Step 5: Solve for x
    x = 352,502,938,332.90/776,596.74
  6. Step 6: Final answer
    x = 453,907.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.