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Finding the Fourth Proportional to 564,189.96, 778,582.10 and 322,477.72

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Solution

The fourth proportional to 564,189.96, 778,582.10 and 322,477.72 is: 445,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,189.96 : 778,582.10 = 322,477.72 : x
  2. Step 2: Convert to fraction form
    564,189.96/778,582.10 = 322,477.72/x
  3. Step 3: Cross multiply
    564,189.96x = 778,582.10 × 322,477.72
  4. Step 4: Simplify right side
    564,189.96x = 251,075,380,440.81
  5. Step 5: Solve for x
    x = 251,075,380,440.81/564,189.96
  6. Step 6: Final answer
    x = 445,019.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.