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Finding the Fourth Proportional to 1,570,509.60, 2,355,764.40 and 771,914.40

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Solution

The fourth proportional to 1,570,509.60, 2,355,764.40 and 771,914.40 is: 1,157,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,509.60 : 2,355,764.40 = 771,914.40 : x
  2. Step 2: Convert to fraction form
    1,570,509.60/2,355,764.40 = 771,914.40/x
  3. Step 3: Cross multiply
    1,570,509.60x = 2,355,764.40 × 771,914.40
  4. Step 4: Simplify right side
    1,570,509.60x = 1,818,448,463,367.36
  5. Step 5: Solve for x
    x = 1,818,448,463,367.36/1,570,509.60
  6. Step 6: Final answer
    x = 1,157,871.60

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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.