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Finding the Fourth Proportional to 505,315.60, 757,051.80 and 411,312.40

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Solution

The fourth proportional to 505,315.60, 757,051.80 and 411,312.40 is: 616,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,315.60 : 757,051.80 = 411,312.40 : x
  2. Step 2: Convert to fraction form
    505,315.60/757,051.80 = 411,312.40/x
  3. Step 3: Cross multiply
    505,315.60x = 757,051.80 × 411,312.40
  4. Step 4: Simplify right side
    505,315.60x = 311,384,792,782.32
  5. Step 5: Solve for x
    x = 311,384,792,782.32/505,315.60
  6. Step 6: Final answer
    x = 616,218.44

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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.