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Finding the Fourth Proportional to 768,345.21, 1,152,573.53 and 295,030.58

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Solution

The fourth proportional to 768,345.21, 1,152,573.53 and 295,030.58 is: 442,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,345.21 : 1,152,573.53 = 295,030.58 : x
  2. Step 2: Convert to fraction form
    768,345.21/1,152,573.53 = 295,030.58/x
  3. Step 3: Cross multiply
    768,345.21x = 1,152,573.53 × 295,030.58
  4. Step 4: Simplify right side
    768,345.21x = 340,044,429,810.53
  5. Step 5: Solve for x
    x = 340,044,429,810.53/768,345.21
  6. Step 6: Final answer
    x = 442,567.25

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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.