Finding the Fourth Proportional to 782,308,400,558.40, 1,173,461,136,159.60 and 245,127,484,630.80
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Solution
The fourth proportional to 782,308,400,558.40, 1,173,461,136,159.60 and 245,127,484,630.80 is: 367,690,768,005.92
Step by Step Solution
- Step 1: Write the proportion equation
782,308,400,558.40 : 1,173,461,136,159.60 = 245,127,484,630.80 : x - Step 2: Convert to fraction form
782,308,400,558.40/1,173,461,136,159.60 = 245,127,484,630.80/x - Step 3: Cross multiply
782,308,400,558.40x = 1,173,461,136,159.60 × 245,127,484,630.80 - Step 4: Simplify right side
782,308,400,558.40x = 287,647,576,618,803,457,425,408 - Step 5: Solve for x
x = 287,647,576,618,803,457,425,408/782,308,400,558.40 - Step 6: Final answer
x = 367,690,768,005.92
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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.