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Finding the Fourth Proportional to 383,643.80, 575,465.70 and 304,328.60

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Solution

The fourth proportional to 383,643.80, 575,465.70 and 304,328.60 is: 456,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,643.80 : 575,465.70 = 304,328.60 : x
  2. Step 2: Convert to fraction form
    383,643.80/575,465.70 = 304,328.60/x
  3. Step 3: Cross multiply
    383,643.80x = 575,465.70 × 304,328.60
  4. Step 4: Simplify right side
    383,643.80x = 175,130,670,829.02
  5. Step 5: Solve for x
    x = 175,130,670,829.02/383,643.80
  6. Step 6: Final answer
    x = 456,492.90

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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.