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Finding the Fourth Proportional to 313,695.51, 470,544.83 and 77,038.21

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Solution

The fourth proportional to 313,695.51, 470,544.83 and 77,038.21 is: 115,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,695.51 : 470,544.83 = 77,038.21 : x
  2. Step 2: Convert to fraction form
    313,695.51/470,544.83 = 77,038.21/x
  3. Step 3: Cross multiply
    313,695.51x = 470,544.83 × 77,038.21
  4. Step 4: Simplify right side
    313,695.51x = 36,249,931,919.84
  5. Step 5: Solve for x
    x = 36,249,931,919.84/313,695.51
  6. Step 6: Final answer
    x = 115,557.70

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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.