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Finding the Fourth Proportional to 408,078,412.80, 613,312,012.80 and 355,525,094.40

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Solution

The fourth proportional to 408,078,412.80, 613,312,012.80 and 355,525,094.40 is: 534,328,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078,412.80 : 613,312,012.80 = 355,525,094.40 : x
  2. Step 2: Convert to fraction form
    408,078,412.80/613,312,012.80 = 355,525,094.40/x
  3. Step 3: Cross multiply
    408,078,412.80x = 613,312,012.80 × 355,525,094.40
  4. Step 4: Simplify right side
    408,078,412.80x = 218,047,811,247,373,984
  5. Step 5: Solve for x
    x = 218,047,811,247,373,984/408,078,412.80
  6. Step 6: Final answer
    x = 534,328,218.32

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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.